library(tidyverse) # For data manipulation and visualization 
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library(rpart) # For building decision trees. 
library(rpart.plot) # For enhanced tree visualization. 
library(patchwork) # For combining multiple ggplot2 plots. 
library(corrplot) # For visualizing correlations. 
## corrplot 0.94 loaded
library(randomForest) # For ensemble decision tree models.
## Warning: package 'randomForest' was built under R version 4.4.2
## randomForest 4.7-1.2
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library(dplyr) # For data manipulation (part of tidyverse). 
library(caTools) # For smart data splitting. 
library(ROCR) # For ROC and AUC curve visualization. 
library(caret) # For general machine learning tasks.
## Loading required package: lattice
## 
## Attaching package: 'caret'
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##     lift
library(ROSE) #For balance imbalanced datasets for better model performance.
## Warning: package 'ROSE' was built under R version 4.4.2
## Loaded ROSE 0.0-4

Preparing Dataset

data0 <- read.csv("diabetes_binary_health_indicators_BRFSS2015.csv") 
data1 <- data0 
summary(data1)
##  Diabetes_binary      HighBP         HighChol        CholCheck     
##  Min.   :0.0000   Min.   :0.000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:0.0000   1st Qu.:1.0000  
##  Median :0.0000   Median :0.000   Median :0.0000   Median :1.0000  
##  Mean   :0.1393   Mean   :0.429   Mean   :0.4241   Mean   :0.9627  
##  3rd Qu.:0.0000   3rd Qu.:1.000   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.000   Max.   :1.0000   Max.   :1.0000  
##       BMI            Smoker           Stroke        HeartDiseaseorAttack
##  Min.   :12.00   Min.   :0.0000   Min.   :0.00000   Min.   :0.00000     
##  1st Qu.:24.00   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000     
##  Median :27.00   Median :0.0000   Median :0.00000   Median :0.00000     
##  Mean   :28.38   Mean   :0.4432   Mean   :0.04057   Mean   :0.09419     
##  3rd Qu.:31.00   3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:0.00000     
##  Max.   :98.00   Max.   :1.0000   Max.   :1.00000   Max.   :1.00000     
##   PhysActivity        Fruits          Veggies       HvyAlcoholConsump
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:1.0000   1st Qu.:0.0000   1st Qu.:1.0000   1st Qu.:0.0000   
##  Median :1.0000   Median :1.0000   Median :1.0000   Median :0.0000   
##  Mean   :0.7565   Mean   :0.6343   Mean   :0.8114   Mean   :0.0562   
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:0.0000   
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   
##  AnyHealthcare     NoDocbcCost         GenHlth         MentHlth     
##  Min.   :0.0000   Min.   :0.00000   Min.   :1.000   Min.   : 0.000  
##  1st Qu.:1.0000   1st Qu.:0.00000   1st Qu.:2.000   1st Qu.: 0.000  
##  Median :1.0000   Median :0.00000   Median :2.000   Median : 0.000  
##  Mean   :0.9511   Mean   :0.08418   Mean   :2.511   Mean   : 3.185  
##  3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:3.000   3rd Qu.: 2.000  
##  Max.   :1.0000   Max.   :1.00000   Max.   :5.000   Max.   :30.000  
##     PhysHlth         DiffWalk           Sex              Age        
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.0000   Min.   : 1.000  
##  1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.: 6.000  
##  Median : 0.000   Median :0.0000   Median :0.0000   Median : 8.000  
##  Mean   : 4.242   Mean   :0.1682   Mean   :0.4403   Mean   : 8.032  
##  3rd Qu.: 3.000   3rd Qu.:0.0000   3rd Qu.:1.0000   3rd Qu.:10.000  
##  Max.   :30.000   Max.   :1.0000   Max.   :1.0000   Max.   :13.000  
##    Education        Income     
##  Min.   :1.00   Min.   :1.000  
##  1st Qu.:4.00   1st Qu.:5.000  
##  Median :5.00   Median :7.000  
##  Mean   :5.05   Mean   :6.054  
##  3rd Qu.:6.00   3rd Qu.:8.000  
##  Max.   :6.00   Max.   :8.000
# List of binary categorical variables 
binary_vars <- c("Diabetes_binary", "HighBP", "HighChol", "CholCheck", "Smoker", "Stroke", "HeartDiseaseorAttack", "PhysActivity", "Fruits", "Veggies", "HvyAlcoholConsump", "AnyHealthcare", "NoDocbcCost", "DiffWalk", "Sex")
# Loop through variables and create bar plots 
for (var in binary_vars) {
  p <- ggplot(data1, aes_string(x = var)) +
    geom_bar(fill = "steelblue") +
    labs(title = paste("Distribution of", var), x = var, y = "Count") +
    theme_minimal()
  
  print(p)  # Ensure print is on a separate line
}
## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
## ℹ Please use tidy evaluation idioms with `aes()`.
## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

Data Description

Diabetes_binary (Binary)
0 = no diabetes 1 = prediabetes or diabetes
HighBP (Binary)
0 = no high BP 1 = high BP
HighChol (Binary)
0 = no high cholesterol 1 = high cholesterol
CholCheck (Binary)
0 = no cholesterol check in 5 years 1 = yes cholesterol check in 5 years
BMI (Continuous)
Body Mass Index
Smoker (Binary)
Have you smoked at least 100 cigarettes in your entire life?
[Note: 5 packs = 100 cigarettes]
0 = no 1 = yes
Stroke (Binary)
(Ever told) you had a stroke.
0 = no 1 = yes
HeartDiseaseorAttack (Binary)
coronary heart disease (CHD) or myocardial infarction (MI)
0 = no 1 = yes
PhysActivity (Binary)
physical activity in past 30 days - not including job
0 = no 1 = yes
Fruits (Binary)
Consume Fruit 1 or more times per day
0 = no 1 = yes
Veggies (Binary)
Consume Vegetables 1 or more times per day
0 = no 1 = yes
HvyAlcoholConsump (Binary)
Heavy drinkers (adult men having more than 14 drinks per week and adult women having more than 7 drinks per week)
0 = no 1 = yes
AnyHealthcare(Binary)
Have any kind of health care coverage, including health insurance, prepaid plans such as HMO, etc.
0 = no 1 = yes
NoDocbcCost (Binary)
Was there a time in the past 12 months when you needed to see a doctor but could not because of cost?
0 = no 1 = yes
GenHlth (Categorical)
Would you say that in general your health is: scale 1-5
1 = excellent 2 = very good 3 = good 4 = fair 5 = poor
MentHlth (Continuous)
Now thinking about your mental health, which includes stress, depression, and problems with emotions, for how many days during the past 30 days was your mental health not good?
scale 1-30 days
PhysHlth (Continuous)
Now thinking about your physical health, which includes physical illness and injury, for how many days during the past 30 days was your physical health not good?
scale 1-30 days
DiffWalk (Binary)
Do you have serious difficulty walking or climbing stairs?
0 = no 1 = yes
Sex (Binary)
0 = female 1 = male
Age (Categorical)
13-level age category (_AGEG5YR see codebook)
1 = 18-24 9 = 60-64 13 = 80 or older
Education (Categorical)
Education level (EDUCA see codebook) scale 1-6
1 = Never attended school or only kindergarten
2 = Grades 1 through 8 (Elementary)
3 = Grades 9 through 11 (Some high school)
4 = Grade 12 or GED (High school graduate)
5 = College 1 year to 3 years (Some college or technical school)
6 = College 4 years or more (College graduate)
Change to
0 = Below Grade 12 or GED (Below High school graduate)
1 = Grade 12 or GED (High school graduate)
2 = College 1 year to 3 years (Some college or technical school)
3 = College 4 years or more (College graduate)
Income (Categorical)
Income scale (INCOME2 see codebook)
scale 1-8 1 = less than $10,000 5 = less than $35,000 8 = $75,000 or more

Data Cleaning and Checking

# Check for missing values 
missing_values <- colSums(is.na(data1)) 
print("Number of missing values in each column:")
## [1] "Number of missing values in each column:"
print(missing_values)
##      Diabetes_binary               HighBP             HighChol 
##                    0                    0                    0 
##            CholCheck                  BMI               Smoker 
##                    0                    0                    0 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##                    0                    0                    0 
##               Fruits              Veggies    HvyAlcoholConsump 
##                    0                    0                    0 
##        AnyHealthcare          NoDocbcCost              GenHlth 
##                    0                    0                    0 
##             MentHlth             PhysHlth             DiffWalk 
##                    0                    0                    0 
##                  Sex                  Age            Education 
##                    0                    0                    0 
##               Income 
##                    0
# Age and Income descriptions are missing 
# And GenHlth always have problems in previous assignments 
# Remove the columns GenHlth, Age and Income
data1 <- data1[, !(names(data1) %in% c("GenHlth", "Age", "Income"))] 
summary(data1)
##  Diabetes_binary      HighBP         HighChol        CholCheck     
##  Min.   :0.0000   Min.   :0.000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:0.0000   1st Qu.:1.0000  
##  Median :0.0000   Median :0.000   Median :0.0000   Median :1.0000  
##  Mean   :0.1393   Mean   :0.429   Mean   :0.4241   Mean   :0.9627  
##  3rd Qu.:0.0000   3rd Qu.:1.000   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.000   Max.   :1.0000   Max.   :1.0000  
##       BMI            Smoker           Stroke        HeartDiseaseorAttack
##  Min.   :12.00   Min.   :0.0000   Min.   :0.00000   Min.   :0.00000     
##  1st Qu.:24.00   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000     
##  Median :27.00   Median :0.0000   Median :0.00000   Median :0.00000     
##  Mean   :28.38   Mean   :0.4432   Mean   :0.04057   Mean   :0.09419     
##  3rd Qu.:31.00   3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:0.00000     
##  Max.   :98.00   Max.   :1.0000   Max.   :1.00000   Max.   :1.00000     
##   PhysActivity        Fruits          Veggies       HvyAlcoholConsump
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:1.0000   1st Qu.:0.0000   1st Qu.:1.0000   1st Qu.:0.0000   
##  Median :1.0000   Median :1.0000   Median :1.0000   Median :0.0000   
##  Mean   :0.7565   Mean   :0.6343   Mean   :0.8114   Mean   :0.0562   
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:0.0000   
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   
##  AnyHealthcare     NoDocbcCost         MentHlth         PhysHlth     
##  Min.   :0.0000   Min.   :0.00000   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.:1.0000   1st Qu.:0.00000   1st Qu.: 0.000   1st Qu.: 0.000  
##  Median :1.0000   Median :0.00000   Median : 0.000   Median : 0.000  
##  Mean   :0.9511   Mean   :0.08418   Mean   : 3.185   Mean   : 4.242  
##  3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.: 2.000   3rd Qu.: 3.000  
##  Max.   :1.0000   Max.   :1.00000   Max.   :30.000   Max.   :30.000  
##     DiffWalk           Sex           Education   
##  Min.   :0.0000   Min.   :0.0000   Min.   :1.00  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:4.00  
##  Median :0.0000   Median :0.0000   Median :5.00  
##  Mean   :0.1682   Mean   :0.4403   Mean   :5.05  
##  3rd Qu.:0.0000   3rd Qu.:1.0000   3rd Qu.:6.00  
##  Max.   :1.0000   Max.   :1.0000   Max.   :6.00
# Create a new column to store the recoded result 
data1$Education <- ifelse(data1$Education %in% c(1, 2, 3), 0, ifelse(data1$Education == 4, 1, ifelse(data1$Education == 5, 2, ifelse(data1$Education == 6, 3, data1$Education)))) 
# Convert the recoded Education_recode column to integer type 
data1$Education <- as.integer(data1$Education) 
# View the recoded result table(data0$Education)
table(data0$Education)
## 
##      1      2      3      4      5      6 
##    174   4043   9478  62750  69910 107325
table(data1$Education)
## 
##      0      1      2      3 
##  13695  62750  69910 107325
str(data1$Education)
##  int [1:253680] 1 3 1 0 2 3 3 1 2 1 ...
#Check Education transform correctly 
str(data0$Diabetes_binary)
##  int [1:253680] 0 0 0 0 0 0 0 0 1 0 ...
str(data1$Diabetes_binary)
##  int [1:253680] 0 0 0 0 0 0 0 0 1 0 ...
str(data0$Education)
##  int [1:253680] 4 6 4 3 5 6 6 4 5 4 ...
str(data1$Education)
##  int [1:253680] 1 3 1 0 2 3 3 1 2 1 ...
#Import data from cleaned and modifed data 
df0 <- data1 
# keep df0 as copy 
df1 <- df0 
# Convert the columns to a factor 
df1$Diabetes_binary <- as.factor(df1$Diabetes_binary) 
df1$HighBP <- as.factor(df1$HighBP) 
df1$HighChol <- as.factor(df1$HighChol) 
df1$CholCheck <- as.factor(df1$CholCheck) 
df1$Smoker <- as.factor(df1$Smoker) 
df1$Stroke <- as.factor(df1$Stroke) 
df1$HeartDiseaseorAttack <- as.factor(df1$HeartDiseaseorAttack) 
df1$PhysActivity <- as.factor(df1$PhysActivity) 
df1$Fruits <- as.factor(df1$Fruits) 
df1$Veggies <- as.factor(df1$Veggies) 
df1$HvyAlcoholConsump <- as.factor(df1$HvyAlcoholConsump) 
df1$AnyHealthcare <- as.factor(df1$AnyHealthcare) 
df1$NoDocbcCost <- as.factor(df1$NoDocbcCost) 
df1$DiffWalk <- as.factor(df1$DiffWalk) 
df1$Sex <- as.factor(df1$Sex) 
df1$Education <- as.factor(df1$Education) 

summary(df0)
##  Diabetes_binary      HighBP         HighChol        CholCheck     
##  Min.   :0.0000   Min.   :0.000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:0.0000   1st Qu.:1.0000  
##  Median :0.0000   Median :0.000   Median :0.0000   Median :1.0000  
##  Mean   :0.1393   Mean   :0.429   Mean   :0.4241   Mean   :0.9627  
##  3rd Qu.:0.0000   3rd Qu.:1.000   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.000   Max.   :1.0000   Max.   :1.0000  
##       BMI            Smoker           Stroke        HeartDiseaseorAttack
##  Min.   :12.00   Min.   :0.0000   Min.   :0.00000   Min.   :0.00000     
##  1st Qu.:24.00   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000     
##  Median :27.00   Median :0.0000   Median :0.00000   Median :0.00000     
##  Mean   :28.38   Mean   :0.4432   Mean   :0.04057   Mean   :0.09419     
##  3rd Qu.:31.00   3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:0.00000     
##  Max.   :98.00   Max.   :1.0000   Max.   :1.00000   Max.   :1.00000     
##   PhysActivity        Fruits          Veggies       HvyAlcoholConsump
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:1.0000   1st Qu.:0.0000   1st Qu.:1.0000   1st Qu.:0.0000   
##  Median :1.0000   Median :1.0000   Median :1.0000   Median :0.0000   
##  Mean   :0.7565   Mean   :0.6343   Mean   :0.8114   Mean   :0.0562   
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:0.0000   
##  Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   
##  AnyHealthcare     NoDocbcCost         MentHlth         PhysHlth     
##  Min.   :0.0000   Min.   :0.00000   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.:1.0000   1st Qu.:0.00000   1st Qu.: 0.000   1st Qu.: 0.000  
##  Median :1.0000   Median :0.00000   Median : 0.000   Median : 0.000  
##  Mean   :0.9511   Mean   :0.08418   Mean   : 3.185   Mean   : 4.242  
##  3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.: 2.000   3rd Qu.: 3.000  
##  Max.   :1.0000   Max.   :1.00000   Max.   :30.000   Max.   :30.000  
##     DiffWalk           Sex           Education    
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:1.000  
##  Median :0.0000   Median :0.0000   Median :2.000  
##  Mean   :0.1682   Mean   :0.4403   Mean   :2.068  
##  3rd Qu.:0.0000   3rd Qu.:1.0000   3rd Qu.:3.000  
##  Max.   :1.0000   Max.   :1.0000   Max.   :3.000
summary(df1)
##  Diabetes_binary HighBP     HighChol   CholCheck       BMI        Smoker    
##  0:218334        0:144851   0:146089   0:  9470   Min.   :12.00   0:141257  
##  1: 35346        1:108829   1:107591   1:244210   1st Qu.:24.00   1:112423  
##                                                   Median :27.00             
##                                                   Mean   :28.38             
##                                                   3rd Qu.:31.00             
##                                                   Max.   :98.00             
##  Stroke     HeartDiseaseorAttack PhysActivity Fruits     Veggies   
##  0:243388   0:229787             0: 61760     0: 92782   0: 47839  
##  1: 10292   1: 23893             1:191920     1:160898   1:205841  
##                                                                    
##                                                                    
##                                                                    
##                                                                    
##  HvyAlcoholConsump AnyHealthcare NoDocbcCost    MentHlth         PhysHlth     
##  0:239424          0: 12417      0:232326    Min.   : 0.000   Min.   : 0.000  
##  1: 14256          1:241263      1: 21354    1st Qu.: 0.000   1st Qu.: 0.000  
##                                              Median : 0.000   Median : 0.000  
##                                              Mean   : 3.185   Mean   : 4.242  
##                                              3rd Qu.: 2.000   3rd Qu.: 3.000  
##                                              Max.   :30.000   Max.   :30.000  
##  DiffWalk   Sex        Education 
##  0:211005   0:141974   0: 13695  
##  1: 42675   1:111706   1: 62750  
##                        2: 69910  
##                        3:107325  
##                                  
## 
dim(df1)
## [1] 253680     19
#All variables # "Diabetes_binary" "HighBP" "HighChol" "CholCheck" "BMI" # "Smoker" "Stroke" "HeartDiseaseorAttack" "PhysActivity" "Fruits" # "Veggies" "HvyAlcoholConsump" "AnyHealthcare" "NoDocbcCost" # "GenHlth" "MentHlth" "PhysHlth" "DiffWalk" "Sex" "Education"Preliminary Analysis

Preliminary Analysis

cormat1<-round(cor(df0),2) 
#corrplot(cormat) 
corrplot(cormat1,method="circle",type="upper",diag=FALSE,number.cex = 0.5, 
tl.cex=1.2,cl.cex = 1)

Split The Dataset & Check That Both Train And Test Have A Similar Proportion

set.seed(123, sample.kind = "Rejection")
# Split the dataset leaving 80% of observations in the training dataset and 20% in the test dataset: 
spl = sample(nrow(df1),0.8*nrow(df1)) 
head(spl) 
## [1] 182735 188942 134058 124022 160997 226318
# Split our dataset into train and test: 
train.df1 = df1[spl,] 
test.df1 = df1[-spl,] 

# \n is a "new line" printing control 
cat("\n For the train dataset: ")
## 
##  For the train dataset:
prop.table(table(train.df1$Diabetes_binary))
## 
##         0         1 
## 0.8606561 0.1393439
cat("\n For the test dataset: ")  
## 
##  For the test dataset:
prop.table(table(test.df1$Diabetes_binary))
## 
##         0         1 
## 0.8607103 0.1392897

First Classification Trees (Pick up Useful Variables)

#tree1<-rpart(Diabetes_binary ~ ., data=train.df1, method="class",minbucket=250, cp=0.001) 
#rpart.plot(tree1) 

#minbucket = 30 is finePotential variables with good correlationPotential variables with good correlationPotential variables with good correlation
tree1<-rpart(Diabetes_binary ~ ., data=train.df1, 
             method="class",minbucket=30, cp=0.001) 
rpart.plot(tree1)

Potential variables with good correlation

#Temporary keep these factors 
# "HighBP" "BMI" "HighChol" "DiffWalk" "HeartDiseaseorAttack" "PhysHlth"

Cross-Validation to get a good tree

#tree_cv1 = rpart(Diabetes_binary ~ ., data=train.df1,
#                 method="class",minbucket=250 ,cp= 0.0001) 
#plotcp(tree_cv1)

tree_cv1 = rpart(Diabetes_binary ~ ., data=train.df1,
                 method="class",minbucket=30 ,cp= 0.001) 
plotcp(tree_cv1)

Second Classification Trees Chose Best CP

tree_cv2 = rpart(Diabetes_binary ~ ., data=train.df1, 
                 method="class", minbucket=30 ,cp= 0.0022) 
rpart.plot(tree_cv2,digits=-2)

Random Forest

For random Forest, the function I use is: $ randomForest (formula, data, ntree, nodesize, mtry) $

Note:

• For regression models, the dependent variable should be type=“num”

• For classification models, the dependent variable should be of type=“factor”

ntree: Usually, 100 is enough. Start with 100.

nodesize: Start with 50.

mtry = #ofvariables/3=4 for regression, sqrt(p) for classification.

# sqrt(18) = 4 
set.seed(123, sample.kind = "Rejection") 
rf1= randomForest(Diabetes_binary~., 
                  data=train.df1, ntree=50, nodesize=50, mtry = 4) 
plot(rf1)

#ntree=20 is enough test from ntree = 50

Out-of-Bag Error

tuneRF (x, y, mtryStart = [starting point for the value of mtry]

stepFactor = [at each iteration, mtry is multiplied (or divided) by this number]

ntreeTry = [number of trees used at the tuning step - select from above]

nodesize = [same as before]

improve = [(relative) improvement in OOB error must bem at least by this amount for the search to continue])

# -1 removes Diabetes_binary
x = train.df1[,-1]  
y = train.df1$Diabetes_binary

set.seed(123, sample.kind="Rejection")
tuneRF (x, y, mtryStart = 3, stepFactor = 2, 
        ntreeTry=20, nodesize=50, improve=0.01)
## mtry = 3  OOB error = 13.59% 
## Searching left ...
## mtry = 2     OOB error = 13.74% 
## -0.01074857 0.01 
## Searching right ...
## mtry = 6     OOB error = 13.76% 
## -0.0122036 0.01

##       mtry  OOBError
## 2.OOB    2 0.1374012
## 3.OOB    3 0.1359400
## 6.OOB    6 0.1375990
# Optimal m_try value is 3, not 4
set.seed(123, sample.kind="Rejection") 
rf_final1 = randomForest(Diabetes_binary~., data=train.df1, 
                         ntree=20, nodesize=50, mtry= 3) 
varImpPlot(rf_final1)

importance(rf_final1)
##                      MeanDecreaseGini
## HighBP                     1547.17112
## HighChol                   1305.80553
## CholCheck                   101.40071
## BMI                        2111.84357
## Smoker                      103.04763
## Stroke                      200.37905
## HeartDiseaseorAttack        726.63357
## PhysActivity                204.58295
## Fruits                       85.93080
## Veggies                      96.92426
## HvyAlcoholConsump           147.36187
## AnyHealthcare                80.86421
## NoDocbcCost                  92.43300
## MentHlth                    356.69866
## PhysHlth                    856.42752
## DiffWalk                    938.17349
## Sex                         109.82123
## Education                   357.01185
# "HighBP" "BMI" "HighChol" "DiffWalk"  "PhysHlth" "HeartDiseaseorAttack"
HighBP_proportion <- train.df1 %>%
  group_by(HighBP) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(HighBP_proportion)
## # A tibble: 2 × 2
##   HighBP diabetes_proportion
##   <fct>                <dbl>
## 1 0                   0.0605
## 2 1                   0.244
bmi_proportion <- train.df1 %>%
  group_by(BMI) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(bmi_proportion)
## # A tibble: 83 × 2
##      BMI diabetes_proportion
##    <int>               <dbl>
##  1    12              0     
##  2    13              0.118 
##  3    14              0.0909
##  4    15              0.0865
##  5    16              0.0594
##  6    17              0.0566
##  7    18              0.0448
##  8    19              0.0333
##  9    20              0.0359
## 10    21              0.0497
## # ℹ 73 more rows
HighChol_proportion <- train.df1 %>%
  group_by(HighChol) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(HighChol_proportion)
## # A tibble: 2 × 2
##   HighChol diabetes_proportion
##   <fct>                  <dbl>
## 1 0                     0.0797
## 2 1                     0.220
DiffWalk_proportion <- train.df1 %>%
  group_by(DiffWalk) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(DiffWalk_proportion)
## # A tibble: 2 × 2
##   DiffWalk diabetes_proportion
##   <fct>                  <dbl>
## 1 0                      0.105
## 2 1                      0.307
PhysHlth_proportion <- train.df1 %>%
  group_by(PhysHlth) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(PhysHlth_proportion)
## # A tibble: 31 × 2
##    PhysHlth diabetes_proportion
##       <int>               <dbl>
##  1        0               0.104
##  2        1               0.103
##  3        2               0.138
##  4        3               0.152
##  5        4               0.170
##  6        5               0.172
##  7        6               0.220
##  8        7               0.163
##  9        8               0.196
## 10        9               0.207
## # ℹ 21 more rows
HeartDiseaseorAttack_proportion <- train.df1 %>%
  group_by(HighChol) %>%
  summarise(diabetes_proportion = mean(Diabetes_binary == 1, na.rm = TRUE))

print(HeartDiseaseorAttack_proportion)
## # A tibble: 2 × 2
##   HighChol diabetes_proportion
##   <fct>                  <dbl>
## 1 0                     0.0797
## 2 1                     0.220
# Mean Decrease Gini by order
# "BMI" "HighBP" "HighChol" "DiffWalk" "PhysHlth" "HeartDiseaseorAttack" "CholCheck"

Random Forest vs Classification Tree Accuracy

#Getting predictions for Random Forest:
rf_predictions1 <- predict(rf_final1, test.df1, type="class")
rf_accuracy1 <- sum(rf_predictions1 == test.df1$Diabetes_binary) / nrow(test.df1)
cat("Accuracy for Random Forest:", round(rf_accuracy1 * 100, 2), "%")
## Accuracy for Random Forest: 86.37 %
#Getting predictions for Classification Tree:
tree_predictions1 <- predict(tree_cv2, test.df1,type="class")
tree_accuracy1 <- sum(tree_predictions1 == test.df1$Diabetes_binary) / nrow(test.df1)
cat("\n Accuracy for Classification Tree:", round(tree_accuracy1 * 100, 2), "%")
## 
##  Accuracy for Classification Tree: 86.44 %

Loss Matrix

# Getting PROB for Random Forest:
rf_prob2 <- predict(rf_final1, test.df1,type="prob")

# Cutoff is set
new_threshold1 = 0.1  

rf_predictions2 <- as.factor(ifelse(rf_prob2[,2] > new_threshold1, 1, 0))

confusionMatrix(rf_predictions2,test.df1$Diabetes_binary, positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 41216  5029
##          1  2453  2038
##                                           
##                Accuracy : 0.8525          
##                  95% CI : (0.8494, 0.8556)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2741          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.28838         
##             Specificity : 0.94383         
##          Pos Pred Value : 0.45380         
##          Neg Pred Value : 0.89125         
##              Prevalence : 0.13929         
##          Detection Rate : 0.04017         
##    Detection Prevalence : 0.08852         
##       Balanced Accuracy : 0.61611         
##                                           
##        'Positive' Class : 1               
## 

Logistic Regression Models

summary(train.df1$Diabetes_binary)
##      0      1 
## 174665  28279
# oversampling the minority class in the training set
train.df1.oversampled1 <- ovun.sample(Diabetes_binary ~ ., data = train.df1, method = "over", N = 340000)$data

# Check the new distribution
cat("\n \n For the oversampling training dataset: \n")
## 
##  
##  For the oversampling training dataset:
str(train.df1.oversampled1)
## 'data.frame':    340000 obs. of  19 variables:
##  $ Diabetes_binary     : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ HighBP              : Factor w/ 2 levels "0","1": 1 2 1 2 1 1 2 1 1 1 ...
##  $ HighChol            : Factor w/ 2 levels "0","1": 1 1 1 1 2 1 1 1 1 1 ...
##  $ CholCheck           : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ BMI                 : int  23 35 20 29 23 25 23 22 30 21 ...
##  $ Smoker              : Factor w/ 2 levels "0","1": 2 2 1 1 2 1 1 2 1 1 ...
##  $ Stroke              : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ HeartDiseaseorAttack: Factor w/ 2 levels "0","1": 1 1 1 1 2 1 1 1 1 1 ...
##  $ PhysActivity        : Factor w/ 2 levels "0","1": 2 2 1 2 2 2 2 2 2 2 ...
##  $ Fruits              : Factor w/ 2 levels "0","1": 1 2 2 2 2 2 1 2 2 2 ...
##  $ Veggies             : Factor w/ 2 levels "0","1": 2 2 2 2 2 1 1 2 2 2 ...
##  $ HvyAlcoholConsump   : Factor w/ 2 levels "0","1": 2 1 1 1 1 1 1 1 1 1 ...
##  $ AnyHealthcare       : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ NoDocbcCost         : Factor w/ 2 levels "0","1": 1 1 2 1 1 1 2 1 1 1 ...
##  $ MentHlth            : int  20 0 0 2 0 0 15 30 0 0 ...
##  $ PhysHlth            : int  0 3 0 0 0 0 0 30 0 0 ...
##  $ DiffWalk            : Factor w/ 2 levels "0","1": 1 1 1 2 1 1 1 2 1 1 ...
##  $ Sex                 : Factor w/ 2 levels "0","1": 1 1 1 1 1 2 1 2 1 1 ...
##  $ Education           : Factor w/ 4 levels "0","1","2","3": 4 4 3 3 4 4 1 2 3 4 ...
summary(train.df1.oversampled1)
##  Diabetes_binary HighBP     HighChol   CholCheck       BMI        Smoker    
##  0:174665        0:149746   0:161709   0:  8645   Min.   :12.00   0:178965  
##  1:165335        1:190254   1:178291   1:331355   1st Qu.:25.00   1:161035  
##                                                   Median :29.00             
##                                                   Mean   :29.82             
##                                                   3rd Qu.:33.00             
##                                                   Max.   :98.00             
##  Stroke     HeartDiseaseorAttack PhysActivity Fruits     Veggies   
##  0:318825   0:290366             0: 99675     0:131083   0: 71688  
##  1: 21175   1: 49634             1:240325     1:208917   1:268312  
##                                                                    
##                                                                    
##                                                                    
##                                                                    
##  HvyAlcoholConsump AnyHealthcare NoDocbcCost    MentHlth         PhysHlth     
##  0:325439          0: 15411      0:308506    Min.   : 0.000   Min.   : 0.000  
##  1: 14561          1:324589      1: 31494    1st Qu.: 0.000   1st Qu.: 0.000  
##                                              Median : 0.000   Median : 0.000  
##                                              Mean   : 3.716   Mean   : 5.755  
##                                              3rd Qu.: 2.000   3rd Qu.: 5.000  
##                                              Max.   :30.000   Max.   :30.000  
##  DiffWalk   Sex        Education 
##  0:255053   0:184610   0: 24877  
##  1: 84947   1:155390   1: 93139  
##                        2: 96593  
##                        3:125391  
##                                  
## 
# undersampling the minority class in the training set
train.df1.undersampled1 <- ovun.sample(Diabetes_binary ~ ., data = train.df1, method = "under", N = 58000)$data

# Check the new distribution
cat("\n \n For the unersampled training dataset: \n")
## 
##  
##  For the unersampled training dataset:
str(train.df1.undersampled1)
## 'data.frame':    58000 obs. of  19 variables:
##  $ Diabetes_binary     : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ HighBP              : Factor w/ 2 levels "0","1": 1 1 1 1 2 1 1 1 2 1 ...
##  $ HighChol            : Factor w/ 2 levels "0","1": 1 1 2 2 1 1 1 1 2 1 ...
##  $ CholCheck           : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ BMI                 : int  22 21 27 33 24 24 29 24 25 20 ...
##  $ Smoker              : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 1 1 2 1 ...
##  $ Stroke              : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ HeartDiseaseorAttack: Factor w/ 2 levels "0","1": 1 1 2 1 1 1 1 1 1 1 ...
##  $ PhysActivity        : Factor w/ 2 levels "0","1": 1 2 2 1 1 2 2 2 2 2 ...
##  $ Fruits              : Factor w/ 2 levels "0","1": 2 2 2 1 2 2 2 2 1 1 ...
##  $ Veggies             : Factor w/ 2 levels "0","1": 2 2 2 1 2 2 2 2 1 2 ...
##  $ HvyAlcoholConsump   : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ AnyHealthcare       : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ NoDocbcCost         : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
##  $ MentHlth            : int  0 0 30 0 0 2 0 0 3 0 ...
##  $ PhysHlth            : int  0 0 30 0 0 0 0 0 0 0 ...
##  $ DiffWalk            : Factor w/ 2 levels "0","1": 1 1 2 1 2 1 1 1 1 1 ...
##  $ Sex                 : Factor w/ 2 levels "0","1": 2 1 1 2 1 2 1 2 2 1 ...
##  $ Education           : Factor w/ 4 levels "0","1","2","3": 3 4 1 3 2 2 3 4 3 4 ...
summary(train.df1.undersampled1)
##  Diabetes_binary HighBP    HighChol  CholCheck      BMI        Smoker   
##  0:29721         0:25511   0:27657   0: 1448   Min.   :13.00   0:30456  
##  1:28279         1:32489   1:30343   1:56552   1st Qu.:25.00   1:27544  
##                                                Median :29.00            
##                                                Mean   :29.86            
##                                                3rd Qu.:33.00            
##                                                Max.   :98.00            
##  Stroke    HeartDiseaseorAttack PhysActivity Fruits    Veggies  
##  0:54404   0:49464              0:16960      0:22381   0:12238  
##  1: 3596   1: 8536              1:41040      1:35619   1:45762  
##                                                                 
##                                                                 
##                                                                 
##                                                                 
##  HvyAlcoholConsump AnyHealthcare NoDocbcCost    MentHlth         PhysHlth     
##  0:55542           0: 2601       0:52594     Min.   : 0.000   Min.   : 0.000  
##  1: 2458           1:55399       1: 5406     1st Qu.: 0.000   1st Qu.: 0.000  
##                                              Median : 0.000   Median : 0.000  
##                                              Mean   : 3.706   Mean   : 5.801  
##                                              3rd Qu.: 2.000   3rd Qu.: 5.000  
##                                              Max.   :30.000   Max.   :30.000  
##  DiffWalk  Sex       Education
##  0:43429   0:31668   0: 4257  
##  1:14571   1:26332   1:15879  
##                      2:16328  
##                      3:21536  
##                               
## 
cat("Orig:")
## Orig:
table(train.df1$Diabetes_binary)
## 
##      0      1 
## 174665  28279
cat("\n OverSampled:")
## 
##  OverSampled:
table(train.df1.oversampled1$Diabetes_binary)
## 
##      0      1 
## 174665 165335
cat("\n UnderSampled:")
## 
##  UnderSampled:
table(train.df1.undersampled1$Diabetes_binary)
## 
##     0     1 
## 29721 28279
#  Variables From Classification Tree
# "HighBP" "BMI" "HighChol" "DiffWalk" "PhysHlth" "HeartDiseaseorAttack"

#  Variables From Random Forest
# "HighBP" "BMI" "HighChol" "DiffWalk"  "PhysHlth" "HeartDiseaseorAttack"

#  Add extra variables interested
# "Stroke" "Smoker" 
cat("\n*Logistic Regression Model by using original dataset*\n")
## 
## *Logistic Regression Model by using original dataset*
logreg0 <- glm(Diabetes_binary ~ HighBP + BMI + HighChol + DiffWalk + PhysHlth + HeartDiseaseorAttack + PhysActivity +  Stroke + Smoker,
               data = df1, family="binomial")

summary(logreg0)
## 
## Call:
## glm(formula = Diabetes_binary ~ HighBP + BMI + HighChol + DiffWalk + 
##     PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke + 
##     Smoker, family = "binomial", data = df1)
## 
## Coefficients:
##                         Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)           -4.6594672  0.0316342 -147.292  < 2e-16 ***
## HighBP1                1.0697888  0.0141658   75.519  < 2e-16 ***
## BMI                    0.0565237  0.0008454   66.858  < 2e-16 ***
## HighChol1              0.7029523  0.0132794   52.936  < 2e-16 ***
## DiffWalk1              0.5006072  0.0160934   31.106  < 2e-16 ***
## PhysHlth               0.0128025  0.0006792   18.848  < 2e-16 ***
## HeartDiseaseorAttack1  0.5583561  0.0172472   32.374  < 2e-16 ***
## PhysActivity1         -0.1981583  0.0138758  -14.281  < 2e-16 ***
## Stroke1                0.3156914  0.0248960   12.680  < 2e-16 ***
## Smoker1                0.0684627  0.0126739    5.402  6.6e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 204847  on 253679  degrees of freedom
## Residual deviance: 171410  on 253670  degrees of freedom
## AIC: 171430
## 
## Number of Fisher Scoring iterations: 5
# Using training dataset
# Logistic Regression Model by using training dataset
# drop insignificant variable "Smoker"
cat("\n*Logistic Regression Model by using training dataset*\n")
## 
## *Logistic Regression Model by using training dataset*
logreg1 <- glm(Diabetes_binary ~ HighBP +  BMI + HighChol + DiffWalk + PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke,                
                data = train.df1, family = "binomial")
summary(logreg1)
## 
## Call:
## glm(formula = Diabetes_binary ~ HighBP + BMI + HighChol + DiffWalk + 
##     PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke, 
##     family = "binomial", data = train.df1)
## 
## Coefficients:
##                         Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           -4.6313632  0.0345799 -133.93   <2e-16 ***
## HighBP1                1.0666132  0.0158295   67.38   <2e-16 ***
## BMI                    0.0564018  0.0009427   59.83   <2e-16 ***
## HighChol1              0.7088036  0.0148427   47.75   <2e-16 ***
## DiffWalk1              0.5026516  0.0179561   27.99   <2e-16 ***
## PhysHlth               0.0133580  0.0007566   17.66   <2e-16 ***
## HeartDiseaseorAttack1  0.5594492  0.0192166   29.11   <2e-16 ***
## PhysActivity1         -0.1948896  0.0155210  -12.56   <2e-16 ***
## Stroke1                0.3099524  0.0277182   11.18   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 163886  on 202943  degrees of freedom
## Residual deviance: 137201  on 202935  degrees of freedom
## AIC: 137219
## 
## Number of Fisher Scoring iterations: 5
# Using oversampling dataset
# Logistic Regression Model by using oversampling dataset
# drop insignificant variable "Smoker"
cat("\n*Logistic Regression Model by using oversampling training dataset*\n")
## 
## *Logistic Regression Model by using oversampling training dataset*
logreg1a <- glm(Diabetes_binary ~ HighBP +  BMI + HighChol + DiffWalk + PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke,                
                data = train.df1.oversampled1, family = "binomial")
summary(logreg1a)
## 
## Call:
## glm(formula = Diabetes_binary ~ HighBP + BMI + HighChol + DiffWalk + 
##     PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke, 
##     family = "binomial", data = train.df1.oversampled1)
## 
## Coefficients:
##                         Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           -3.2747001  0.0220261 -148.67   <2e-16 ***
## HighBP1                1.0660740  0.0083252  128.05   <2e-16 ***
## BMI                    0.0694527  0.0006610  105.07   <2e-16 ***
## HighChol1              0.7216371  0.0081282   88.78   <2e-16 ***
## DiffWalk1              0.5034682  0.0108624   46.35   <2e-16 ***
## PhysHlth               0.0152336  0.0004659   32.70   <2e-16 ***
## HeartDiseaseorAttack1  0.6371298  0.0123335   51.66   <2e-16 ***
## PhysActivity1         -0.2089812  0.0090848  -23.00   <2e-16 ***
## Stroke1                0.3711233  0.0180669   20.54   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 471084  on 339999  degrees of freedom
## Residual deviance: 378734  on 339991  degrees of freedom
## AIC: 378752
## 
## Number of Fisher Scoring iterations: 4
# Using undersampling training dataset
# Logistic Regression Model by using undersampling dataset
# drop insignificant variable "Smoker" 
cat("\n*Logistic Regression Model by using undersampling training dataset*\n")
## 
## *Logistic Regression Model by using undersampling training dataset*
logreg1b <- glm(Diabetes_binary ~  HighBP +  BMI + HighChol + DiffWalk + PhysHlth + HeartDiseaseorAttack +PhysActivity + Stroke,                
               data= train.df1.undersampled1, family="binomial")
summary(logreg1b)
## 
## Call:
## glm(formula = Diabetes_binary ~ HighBP + BMI + HighChol + DiffWalk + 
##     PhysHlth + HeartDiseaseorAttack + PhysActivity + Stroke, 
##     family = "binomial", data = train.df1.undersampled1)
## 
## Coefficients:
##                        Estimate Std. Error z value Pr(>|z|)    
## (Intercept)           -3.163937   0.052739 -59.993   <2e-16 ***
## HighBP1                1.064633   0.020109  52.944   <2e-16 ***
## BMI                    0.065929   0.001576  41.829   <2e-16 ***
## HighChol1              0.736893   0.019619  37.560   <2e-16 ***
## DiffWalk1              0.518555   0.026249  19.755   <2e-16 ***
## PhysHlth               0.013598   0.001122  12.116   <2e-16 ***
## HeartDiseaseorAttack1  0.614773   0.029703  20.697   <2e-16 ***
## PhysActivity1         -0.215421   0.022010  -9.787   <2e-16 ***
## Stroke1                0.384457   0.043829   8.772   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 80369  on 57999  degrees of freedom
## Residual deviance: 64818  on 57991  degrees of freedom
## AIC: 64836
## 
## Number of Fisher Scoring iterations: 4

Examine the coefficients β and exp(β)

coef(logreg1)
##           (Intercept)               HighBP1                   BMI 
##           -4.63136325            1.06661321            0.05640182 
##             HighChol1             DiffWalk1              PhysHlth 
##            0.70880364            0.50265163            0.01335805 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            0.55944924           -0.19488957            0.30995241
exp(coef(logreg1))
##           (Intercept)               HighBP1                   BMI 
##            0.00974147            2.90552244            1.05802273 
##             HighChol1             DiffWalk1              PhysHlth 
##            2.03155933            1.65309886            1.01344766 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            1.74970857            0.82292553            1.36336023
coeftable1 <- data.frame(col1=coef(logreg1),col2=exp(coef(logreg1)))
colnames(coeftable1)<-c('Coefficient1 (log-odds)','e^coefficient1 (odds)')
coeftable1
##                       Coefficient1 (log-odds) e^coefficient1 (odds)
## (Intercept)                       -4.63136325            0.00974147
## HighBP1                            1.06661321            2.90552244
## BMI                                0.05640182            1.05802273
## HighChol1                          0.70880364            2.03155933
## DiffWalk1                          0.50265163            1.65309886
## PhysHlth                           0.01335805            1.01344766
## HeartDiseaseorAttack1              0.55944924            1.74970857
## PhysActivity1                     -0.19488957            0.82292553
## Stroke1                            0.30995241            1.36336023
coef(logreg1a)
##           (Intercept)               HighBP1                   BMI 
##           -3.27470012            1.06607401            0.06945266 
##             HighChol1             DiffWalk1              PhysHlth 
##            0.72163714            0.50346822            0.01523362 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            0.63712976           -0.20898119            0.37112328
exp(coef(logreg1a))
##           (Intercept)               HighBP1                   BMI 
##            0.03782821            2.90395618            1.07192132 
##             HighChol1             DiffWalk1              PhysHlth 
##            2.05779937            1.65444932            1.01535024 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            1.89104533            0.81141050            1.44936174
coeftable1a <- data.frame(col1=coef(logreg1a),col2=exp(coef(logreg1a)))
colnames(coeftable1a)<-c('Coefficient1a (log-odds)','e^coefficient1a (odds)')
coeftable1a
##                       Coefficient1a (log-odds) e^coefficient1a (odds)
## (Intercept)                        -3.27470012             0.03782821
## HighBP1                             1.06607401             2.90395618
## BMI                                 0.06945266             1.07192132
## HighChol1                           0.72163714             2.05779937
## DiffWalk1                           0.50346822             1.65444932
## PhysHlth                            0.01523362             1.01535024
## HeartDiseaseorAttack1               0.63712976             1.89104533
## PhysActivity1                      -0.20898119             0.81141050
## Stroke1                             0.37112328             1.44936174
coef(logreg1b)
##           (Intercept)               HighBP1                   BMI 
##           -3.16393678            1.06463261            0.06592926 
##             HighChol1             DiffWalk1              PhysHlth 
##            0.73689317            0.51855544            0.01359807 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            0.61477250           -0.21542057            0.38445653
exp(coef(logreg1b))
##           (Intercept)               HighBP1                   BMI 
##            0.04225905            2.89977345            1.06815115 
##             HighChol1             DiffWalk1              PhysHlth 
##            2.08943390            1.67959961            1.01369095 
## HeartDiseaseorAttack1         PhysActivity1               Stroke1 
##            1.84923585            0.80620231            1.46881584
coeftable1b <- data.frame(col1=coef(logreg1b),col2=exp(coef(logreg1b)))
colnames(coeftable1b)<-c('Coefficient1b (log-odds)','e^coefficient1b (odds)')
coeftable1b
##                       Coefficient1b (log-odds) e^coefficient1b (odds)
## (Intercept)                        -3.16393678             0.04225905
## HighBP1                             1.06463261             2.89977345
## BMI                                 0.06592926             1.06815115
## HighChol1                           0.73689317             2.08943390
## DiffWalk1                           0.51855544             1.67959961
## PhysHlth                            0.01359807             1.01369095
## HeartDiseaseorAttack1               0.61477250             1.84923585
## PhysActivity1                      -0.21542057             0.80620231
## Stroke1                             0.38445653             1.46881584
# Making Predictions on the testing dataset
#type="response" gives the probability, otherwise the output would be log odds.

test.df1$PredProbs1 <- predict(logreg1, newdata = test.df1, type = "response")
summary(test.df1$PredProbs1)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## 0.01573 0.04003 0.08557 0.13830 0.19063 0.98424
test.df1$PredProbs1a <- predict(logreg1a, newdata = test.df1, type = "response")
summary(test.df1$PredProbs1a)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## 0.06692 0.18701 0.34566 0.39867 0.57888 0.99901
# Need to use undersampling training dataset?
test.df1$PredProbs1b <- predict(logreg1b, newdata = test.df1, type = "response")
summary(test.df1$PredProbs1b)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## 0.07079 0.18734 0.34453 0.39975 0.58205 0.99869
summary(test.df1$Diabetes_binary)
##     0     1 
## 43669  7067

Receiver Operating Characteristic (ROC) Curve & Area Under the Curve (AUC)

# Generate ROC Curve for Test Set
roc.pred1 <- prediction(test.df1$PredProbs1, test.df1$Diabetes_binary)


# Calculate TPR (True Positive Rate) and FPR (False Positive Rate)
perf1 <- performance(roc.pred1, "tpr", "fpr")

# Plot the ROC Curve
plot(perf1,                      # the data
     main = "ROC Curve for Test Set",  # the chart's title
     xlab = "1 - Specificity",        # the name of the x-axis
     ylab = "Sensitivity",            # the name of the y-axis
     colorize = TRUE)                 # add color to curve depending on threshold prob.

# Add the diagonal line for Random Assignment
abline(0, 1)

# Calculate the Area Under the Curve (AUC)
perf_auc1 <- performance(roc.pred1, "auc")
auc_value1 <- as.numeric(perf_auc1@y.values)
cat("AUC for Test Set: ", auc_value1, "\n")
## AUC for Test Set:  0.7894491
# Generate ROC Curve for Test Set
roc.pred1a <- prediction(test.df1$PredProbs1a, test.df1$Diabetes_binary)

# Calculate TPR (True Positive Rate) and FPR (False Positive Rate)
perf1a <- performance(roc.pred1a, "tpr", "fpr")

# Plot the ROC Curve
plot(perf1a,                      # the data
     main = "ROC Curve for oversampling set",  # the chart's title
     xlab = "1 - Specificity",        # the name of the x-axis
     ylab = "Sensitivity",            # the name of the y-axis
     colorize = TRUE)                 # add color to curve depending on threshold prob.

# Add the diagonal line for Random Assignment
abline(0, 1)

# Calculate the Area Under the Curve (AUC)
perf_auc1a <- performance(roc.pred1a, "auc")
auc_value1a <- as.numeric(perf_auc1a@y.values)
cat("AUC for oversampling Set: ", auc_value1a, "\n")
## AUC for oversampling Set:  0.7903178
# Generate ROC Curve for Test Set
roc.pred1b <- prediction(test.df1$PredProbs1b, test.df1$Diabetes_binary)

# Calculate TPR (True Positive Rate) and FPR (False Positive Rate)
perf1b <- performance(roc.pred1b, "tpr", "fpr")

# Plot the ROC Curve
plot(perf1b,                      # the data
     main = "ROC Curve for undersampling set",  # the chart's title
     xlab = "1 - Specificity",        # the name of the x-axis
     ylab = "Sensitivity",            # the name of the y-axis
     colorize = TRUE)                 # add color to curve depending on threshold prob.

# Add the diagonal line for Random Assignment
abline(0, 1)

# Calculate the Area Under the Curve (AUC)
perf_auc1b <- performance(roc.pred1b, "auc")
auc_value1b <- as.numeric(perf_auc1b@y.values)
cat("AUC for Undersampling Set: ", auc_value1b, "\n")
## AUC for Undersampling Set:  0.7901372

Confusion Matrix

# Converting Probabilities to Classifications (Original training)
cat("\n*Converting Probabilities to Classifications (Original training)*\n")
## 
## *Converting Probabilities to Classifications (Original training)*
cutoff<-0.5
test.df1$PredDiabetes_binary1 <- ifelse(test.df1$PredProbs1 >=cutoff,1,0)
summary(test.df1$PredDiabetes_binary1)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
## 0.00000 0.00000 0.00000 0.02844 0.00000 1.00000
# Converting Probabilities to Classifications (Oversampling)
cat("\n*Converting Probabilities to Classifications (Oversampling)*\n")
## 
## *Converting Probabilities to Classifications (Oversampling)*
cutoff <- 0.5
test.df1$PredDiabetes_binary1a<- ifelse(test.df1$PredProbs1a >= cutoff, 1, 0)
summary(test.df1$PredDiabetes_binary1a)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.0000  0.0000  0.0000  0.3352  1.0000  1.0000
# Converting Probabilities to Classifications (Undersampling)
cat("\n*Converting Probabilities to Classifications (Undersampling)*\n")
## 
## *Converting Probabilities to Classifications (Undersampling)*
cutoff <- 0.5
test.df1$PredDiabetes_binary1b<- ifelse(test.df1$PredProbs1b >= cutoff, 1, 0)
summary(test.df1$PredDiabetes_binary1b)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.0000  0.0000  0.0000  0.3386  1.0000  1.0000
# Training and testing
cat("\n*Logistic regression confusion matrix by using training and testing dataset (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using training and testing dataset (cutoff set at 0.5)*
confusionMatrix(
  data = as.factor(test.df1$PredDiabetes_binary1),
  reference = as.factor(test.df1$Diabetes_binary),
  positive = "1"
)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 43011  6282
##          1   658   785
##                                           
##                Accuracy : 0.8632          
##                  95% CI : (0.8602, 0.8662)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 0.05213         
##                                           
##                   Kappa : 0.1441          
##                                           
##  Mcnemar's Test P-Value : < 2e-16         
##                                           
##             Sensitivity : 0.11108         
##             Specificity : 0.98493         
##          Pos Pred Value : 0.54401         
##          Neg Pred Value : 0.87256         
##              Prevalence : 0.13929         
##          Detection Rate : 0.01547         
##    Detection Prevalence : 0.02844         
##       Balanced Accuracy : 0.54801         
##                                           
##        'Positive' Class : 1               
## 
# Oversampling
cat("\n*Logistic regression confusion matrix by using oversampling datasets (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using oversampling datasets (cutoff set at 0.5)*
confusionMatrix(
  data = as.factor(test.df1$PredDiabetes_binary1a), 
  reference = as.factor(test.df1$Diabetes_binary), 
  positive = "1"
)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 31647  2080
##          1 12022  4987
##                                           
##                Accuracy : 0.7221          
##                  95% CI : (0.7181, 0.7259)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2707          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.70567         
##             Specificity : 0.72470         
##          Pos Pred Value : 0.29320         
##          Neg Pred Value : 0.93833         
##              Prevalence : 0.13929         
##          Detection Rate : 0.09829         
##    Detection Prevalence : 0.33525         
##       Balanced Accuracy : 0.71519         
##                                           
##        'Positive' Class : 1               
## 
# Undersampling
cat("\n*Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*
confusionMatrix(
  data = as.factor(test.df1$PredDiabetes_binary1b), 
  reference = as.factor(test.df1$Diabetes_binary), 
  positive = "1"
)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 31497  2061
##          1 12172  5006
##                                           
##                Accuracy : 0.7195          
##                  95% CI : (0.7155, 0.7234)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2686          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.70836         
##             Specificity : 0.72127         
##          Pos Pred Value : 0.29142         
##          Neg Pred Value : 0.93858         
##              Prevalence : 0.13929         
##          Detection Rate : 0.09867         
##    Detection Prevalence : 0.33858         
##       Balanced Accuracy : 0.71481         
##                                           
##        'Positive' Class : 1               
## 

Comparing with Classification Tree & Random Forest

#Logistic regression confusion matrix by using training and testing datasets (cutoff set at 0.5)
cat("\n*Logistic regression confusion matrix by using training and testing dataset (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using training and testing dataset (cutoff set at 0.5)*
confusionMatrix(data = as.factor(test.df1$PredDiabetes_binary1),reference = as.factor(test.df1$Diabetes_binary),
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 43011  6282
##          1   658   785
##                                           
##                Accuracy : 0.8632          
##                  95% CI : (0.8602, 0.8662)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 0.05213         
##                                           
##                   Kappa : 0.1441          
##                                           
##  Mcnemar's Test P-Value : < 2e-16         
##                                           
##             Sensitivity : 0.11108         
##             Specificity : 0.98493         
##          Pos Pred Value : 0.54401         
##          Neg Pred Value : 0.87256         
##              Prevalence : 0.13929         
##          Detection Rate : 0.01547         
##    Detection Prevalence : 0.02844         
##       Balanced Accuracy : 0.54801         
##                                           
##        'Positive' Class : 1               
## 
#Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)
cat("\n*Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*
confusionMatrix(data = as.factor(test.df1$PredDiabetes_binary1a), reference = as.factor(test.df1$Diabetes_binary),
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 31647  2080
##          1 12022  4987
##                                           
##                Accuracy : 0.7221          
##                  95% CI : (0.7181, 0.7259)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2707          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.70567         
##             Specificity : 0.72470         
##          Pos Pred Value : 0.29320         
##          Neg Pred Value : 0.93833         
##              Prevalence : 0.13929         
##          Detection Rate : 0.09829         
##    Detection Prevalence : 0.33525         
##       Balanced Accuracy : 0.71519         
##                                           
##        'Positive' Class : 1               
## 
#Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)
cat("\n*Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*\n")
## 
## *Logistic regression confusion matrix by using undersampling datasets (cutoff set at 0.5)*
confusionMatrix(data = as.factor(test.df1$PredDiabetes_binary1b), reference = as.factor(test.df1$Diabetes_binary),
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 31497  2061
##          1 12172  5006
##                                           
##                Accuracy : 0.7195          
##                  95% CI : (0.7155, 0.7234)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2686          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.70836         
##             Specificity : 0.72127         
##          Pos Pred Value : 0.29142         
##          Neg Pred Value : 0.93858         
##              Prevalence : 0.13929         
##          Detection Rate : 0.09867         
##    Detection Prevalence : 0.33858         
##       Balanced Accuracy : 0.71481         
##                                           
##        'Positive' Class : 1               
## 
#Random forest confusion matrix (threshold set at 0.1)
cat("\n*Random forest confusion matrix (threshold set at 0.1)*\n")
## 
## *Random forest confusion matrix (threshold set at 0.1)*
confusionMatrix(rf_predictions2,test.df1$Diabetes_binary,
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 41216  5029
##          1  2453  2038
##                                           
##                Accuracy : 0.8525          
##                  95% CI : (0.8494, 0.8556)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2741          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.28838         
##             Specificity : 0.94383         
##          Pos Pred Value : 0.45380         
##          Neg Pred Value : 0.89125         
##              Prevalence : 0.13929         
##          Detection Rate : 0.04017         
##    Detection Prevalence : 0.08852         
##       Balanced Accuracy : 0.61611         
##                                           
##        'Positive' Class : 1               
## 
#Random forest confusion matrix (threshold set at defualt)
cat("\n*Random forest confusion matrix (threshold set at defualt)*\n")
## 
## *Random forest confusion matrix (threshold set at defualt)*
confusionMatrix(rf_predictions1,as.factor(test.df1$Diabetes_binary),
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 43263  6510
##          1   406   557
##                                           
##                Accuracy : 0.8637          
##                  95% CI : (0.8607, 0.8667)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 0.02656         
##                                           
##                   Kappa : 0.109           
##                                           
##  Mcnemar's Test P-Value : < 2e-16         
##                                           
##             Sensitivity : 0.07882         
##             Specificity : 0.99070         
##          Pos Pred Value : 0.57840         
##          Neg Pred Value : 0.86921         
##              Prevalence : 0.13929         
##          Detection Rate : 0.01098         
##    Detection Prevalence : 0.01898         
##       Balanced Accuracy : 0.53476         
##                                           
##        'Positive' Class : 1               
## 
#Classification tree confusion matrix
cat("\n*Classification tree confusion matrix*\n")
## 
## *Classification tree confusion matrix*
confusionMatrix(tree_predictions1,as.factor(test.df1$Diabetes_binary),
                positive = "1")
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction     0     1
##          0 43250  6462
##          1   419   605
##                                           
##                Accuracy : 0.8644          
##                  95% CI : (0.8614, 0.8673)
##     No Information Rate : 0.8607          
##     P-Value [Acc > NIR] : 0.008522        
##                                           
##                   Kappa : 0.1185          
##                                           
##  Mcnemar's Test P-Value : < 2.2e-16       
##                                           
##             Sensitivity : 0.08561         
##             Specificity : 0.99041         
##          Pos Pred Value : 0.59082         
##          Neg Pred Value : 0.87001         
##              Prevalence : 0.13929         
##          Detection Rate : 0.01192         
##    Detection Prevalence : 0.02018         
##       Balanced Accuracy : 0.53801         
##                                           
##        'Positive' Class : 1               
## 

Clustering

str(data1)
## 'data.frame':    253680 obs. of  19 variables:
##  $ Diabetes_binary     : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ HighBP              : int  1 0 1 1 1 1 1 1 1 0 ...
##  $ HighChol            : int  1 0 1 0 1 1 0 1 1 0 ...
##  $ CholCheck           : int  1 0 1 1 1 1 1 1 1 1 ...
##  $ BMI                 : int  40 25 28 27 24 25 30 25 30 24 ...
##  $ Smoker              : int  1 1 0 0 0 1 1 1 1 0 ...
##  $ Stroke              : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ HeartDiseaseorAttack: int  0 0 0 0 0 0 0 0 1 0 ...
##  $ PhysActivity        : int  0 1 0 1 1 1 0 1 0 0 ...
##  $ Fruits              : int  0 0 1 1 1 1 0 0 1 0 ...
##  $ Veggies             : int  1 0 0 1 1 1 0 1 1 1 ...
##  $ HvyAlcoholConsump   : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ AnyHealthcare       : int  1 0 1 1 1 1 1 1 1 1 ...
##  $ NoDocbcCost         : int  0 1 1 0 0 0 0 0 0 0 ...
##  $ MentHlth            : int  18 0 30 0 3 0 0 0 30 0 ...
##  $ PhysHlth            : int  15 0 30 0 0 2 14 0 30 0 ...
##  $ DiffWalk            : int  1 0 1 0 0 0 0 1 1 0 ...
##  $ Sex                 : int  0 0 0 0 0 1 0 0 0 1 ...
##  $ Education           : int  1 3 1 0 2 3 3 1 2 1 ...
data_0 <- subset(data1, Diabetes_binary == 0)
data_1 <- subset(data1, Diabetes_binary == 1)

print(data_0)
##      Diabetes_binary HighBP HighChol CholCheck BMI Smoker Stroke
## 1                  0      1        1         1  40      1      0
## 2                  0      0        0         0  25      1      0
## 3                  0      1        1         1  28      0      0
## 4                  0      1        0         1  27      0      0
## 5                  0      1        1         1  24      0      0
## 6                  0      1        1         1  25      1      0
## 7                  0      1        0         1  30      1      0
## 8                  0      1        1         1  25      1      0
## 10                 0      0        0         1  24      0      0
## 12                 0      1        1         1  34      1      0
## 13                 0      0        0         1  26      1      0
## 15                 0      0        1         1  33      1      1
## 16                 0      1        0         1  33      0      0
## 17                 0      1        1         1  21      0      0
## 19                 0      0        0         0  23      0      0
## 20                 0      0        1         1  28      0      0
## 21                 0      1        1         1  22      0      1
## 22                 0      1        1         1  38      1      0
## 23                 0      0        0         1  28      1      0
## 25                 0      1        1         1  28      1      0
## 26                 0      0        0         1  32      0      0
## 30                 0      0        1         1  31      1      0
## 32                 0      1        0         1  33      1      0
## 33                 0      0        0         1  23      0      0
## 34                 0      1        0         1  31      0      0
## 36                 0      1        0         1  26      0      0
## 37                 0      1        1         1  24      1      0
## 38                 0      0        0         1  22      0      0
## 39                 0      0        0         1  26      1      0
## 40                 0      1        1         1  24      1      0
## 41                 0      0        0         1  26      0      0
## 43                 0      0        0         1  28      1      1
## 44                 0      1        0         1  23      1      0
## 45                 0      0        1         1  31      1      0
## 46                 0      0        1         1  21      1      0
## 47                 0      0        0         1  31      0      0
## 48                 0      1        1         1  25      1      0
## 49                 0      1        1         1  37      0      0
## 51                 0      1        1         1  30      1      0
## 52                 0      1        0         1  22      1      0
## 54                 0      0        0         1  31      0      0
## 55                 0      0        1         1  34      1      0
## 56                 0      0        0         1  29      0      0
## 57                 0      0        0         1  26      0      0
## 58                 0      0        1         1  24      1      0
## 59                 0      1        1         1  33      1      0
## 60                 0      0        0         1  20      1      0
## 62                 0      1        0         1  27      1      0
## 63                 0      1        0         1  34      1      0
## 64                 0      1        1         1  30      0      0
## 65                 0      1        1         1  27      0      0
## 66                 0      1        1         1  38      1      1
## 67                 0      0        1         1  28      1      0
## 68                 0      1        0         1  25      0      0
## 71                 0      1        1         1  27      1      0
## 73                 0      0        0         1  32      0      0
## 74                 0      0        0         0  23      1      0
## 75                 0      0        1         1  27      0      0
## 76                 0      0        0         1  31      1      0
## 78                 0      1        1         1  28      0      0
## 79                 0      1        1         1  26      1      0
## 80                 0      1        0         1  28      0      0
## 81                 0      1        0         1  28      0      0
## 82                 0      1        1         1  33      0      0
## 83                 0      1        1         1  23      0      1
## 85                 0      0        0         1  27      1      0
## 87                 0      0        1         1  22      0      0
## 88                 0      1        0         1  39      0      0
## 89                 0      0        0         1  30      1      0
## 91                 0      1        1         1  32      1      0
## 92                 0      0        0         1  22      0      0
## 95                 0      0        0         1  31      1      0
## 98                 0      1        0         1  45      0      0
## 99                 0      1        1         1  28      0      0
## 100                0      1        1         1  35      0      0
## 101                0      1        0         1  27      1      0
## 102                0      0        1         1  19      1      0
## 103                0      1        1         1  23      1      0
## 105                0      0        1         1  29      0      0
## 106                0      1        0         1  30      0      0
## 107                0      0        1         1  22      0      0
## 109                0      1        0         1  28      0      0
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## 5946             1           0        0        4        0   1         3
## 5947             1           0        0        0        0   1         1
## 5948             1           0        0        0        0   0         2
## 5949             1           0        0        0        0   1         1
## 5950             1           1       15       10        0   0         2
## 5951             0           1        0       30        0   0         1
## 5952             1           0        0        0        0   0         3
## 5955             1           0        0        5        0   0         3
## 5956             0           0        0        0        0   0         2
## 5957             1           0        2        0        0   0         2
## 5958             1           1       30        4        0   0         2
## 5959             1           0        0        0        0   0         3
## 5961             1           0       30       30        1   0         1
## 5962             1           0        0        0        0   1         2
## 5963             1           0        0       30        0   0         1
## 5964             1           0        0        0        0   1         0
## 5965             1           0        0        0        0   1         3
## 5966             1           0       10        7        1   0         1
## 5967             1           0        0        0        0   1         2
## 5968             1           0        0       21        0   1         1
## 5969             1           0        0        2        0   1         1
## 5970             1           0        0        0        0   0         0
## 5971             1           0        0        0        0   1         1
## 5972             1           0        0        0        0   1         2
## 5973             1           0        0       30        1   0         1
## 5974             1           0        0        0        0   0         1
## 5975             1           0        0        2        0   1         2
## 5976             0           1        0        7        0   0         3
## 5977             1           0       20        5        0   1         2
## 5978             1           0        0        0        0   0         3
## 5979             1           0        2        2        0   0         2
## 5980             1           0        1        5        0   1         2
## 5981             1           0        0        0        0   1         3
## 5982             1           0        0        0        0   1         1
## 5983             1           1        0        0        0   1         3
## 5984             1           0        2        2        0   1         1
## 5985             1           0        0        2        0   1         2
## 5986             1           0        4        2        0   0         1
## 5987             1           0        0        0        0   0         3
## 5988             0           1        0        3        0   0         2
## 5989             1           0        0        0        0   1         3
## 5990             1           0        7        0        0   0         2
## 5991             1           0        6       10        0   1         2
## 5992             1           1        0        0        0   0         2
## 5993             1           0        0        0        0   1         3
## 5994             1           0        0        0        0   1         1
## 5995             0           1        0        0        0   0         3
## 5996             0           1       30       30        0   1         2
## 5997             1           1        8        5        0   0         3
## 5998             1           0        0        0        0   0         1
## 5999             0           0        0        0        0   1         2
## 6000             1           0        0        0        0   0         3
## 6002             1           0        2        0        0   1         2
## 6003             0           1        0        7        0   1         3
## 6004             0           0        0        7        0   1         2
## 6005             1           0        0        0        0   1         3
## 6006             1           0        0       30        0   0         3
## 6007             0           1        4        5        0   1         2
## 6008             1           0        0        0        0   1         3
## 6009             1           0        0        0        0   1         1
## 6010             1           0        0        0        0   1         3
## 6011             1           0        0        0        0   0         2
## 6012             1           0        1        1        0   1         3
## 6013             0           0        0        0        0   1         3
## 6014             1           0       10        5        0   0         3
## 6015             1           0        0        2        0   0         2
## 6016             1           0        0        0        1   0         2
## 6017             1           0        0        0        0   1         2
## 6018             1           0        0        2        0   1         3
## 6019             0           1       30        7        0   1         3
## 6020             0           1        3       10        0   1         3
## 6021             1           0        0        0        0   1         2
## 6022             0           0        0        0        0   1         2
## 6023             1           0        0        0        0   1         2
## 6024             1           0        0        0        0   1         2
## 6025             1           1       20        0        0   0         2
## 6026             1           0        4        0        0   1         3
## 6027             1           0        0       30        0   0         3
## 6028             1           0        0        0        0   1         1
## 6029             0           1        0        7        0   0         3
## 6030             1           0        0        0        0   1         2
## 6031             1           1        2        7        0   0         1
## 6032             1           0       15       15        0   1         2
## 6033             1           0        0        0        0   1         2
## 6034             1           0        0        0        0   0         3
## 6035             1           0        0        0        0   0         1
## 6036             1           0        0        0        0   1         2
## 6037             1           0        5        0        0   1         1
## 6038             1           0        1        0        0   0         1
## 6039             0           0        0        0        0   0         2
## 6040             1           0        1        2        0   0         3
## 6041             1           0       10       15        0   0         2
## 6042             1           0        0        0        0   1         3
## 6043             1           0        0        0        0   0         3
## 6044             1           1       21       14        1   0         2
## 6045             1           0        2        2        0   0         2
## 6046             1           0        0        0        0   1         3
## 6047             0           0        0        0        0   1         2
## 6048             1           1       30        0        0   0         1
## 6049             1           0        0       30        0   0         2
## 6050             0           1        5        0        0   0         1
## 6051             1           1        5       30        1   0         1
## 6052             1           0        0        1        0   0         2
## 6053             1           0        0        0        0   1         2
## 6055             1           0        0        0        0   0         3
## 6056             1           0        0        1        0   1         2
## 6057             1           0        3        0        0   0         3
## 6058             1           0        3        3        0   1         1
## 6059             1           0        0       14        1   0         3
## 6060             1           0       15        4        0   1         1
## 6061             1           0        0        0        0   1         2
## 6062             1           0        0        0        0   1         3
## 6064             1           0        0        0        0   1         2
## 6065             1           0        0        0        0   1         3
## 6066             1           0        0        0        0   1         3
## 6067             1           0        1        0        0   0         1
## 6068             0           0        0        0        0   1         2
## 6069             1           0        3        0        0   1         1
## 6070             1           0        0        0        0   0         2
## 6072             1           0        0        0        0   1         1
## 6073             1           0        0        0        0   1         1
## 6074             1           0        0        0        0   0         2
## 6075             1           0        0        0        0   0         3
## 6076             1           0        0        0        0   1         3
## 6077             1           1       30        0        0   1         2
## 6078             1           0        0        0        0   1         3
## 6079             1           0        0        0        0   1         2
## 6081             1           0        0        0        0   1         1
## 6082             1           1        2        6        0   0         2
## 6083             1           0        0        1        0   1         2
## 6084             1           0        0        0        0   0         3
## 6085             1           0        0        5        0   0         3
## 6086             1           0       10        1        0   0         2
## 6087             1           0        2        0        0   0         2
## 6088             1           0        0        0        0   1         1
## 6089             1           0        7        4        0   0         1
## 6090             0           0        5        0        0   1         2
## 6091             1           0        0        0        0   1         3
## 6092             1           0        0        0        0   1         3
## 6094             1           0        3        0        0   1         3
## 6095             1           0        1        0        0   1         2
## 6096             1           0        0        4        0   0         2
## 6097             1           0        2        0        0   0         3
## 6098             1           0        0        0        0   1         1
## 6099             1           0       28        0        0   0         3
## 6100             1           0        1        0        0   0         3
## 6101             1           0        0        0        0   0         3
## 6102             1           0        0        0        0   1         3
## 6103             1           1        5        4        0   0         3
## 6104             1           0        0        0        0   0         3
## 6105             1           0        7        0        0   0         2
## 6106             1           0        0        4        0   0         3
## 6107             1           0        0        2        0   1         3
## 6108             1           1       30        0        0   0         2
## 6109             1           0        0        0        0   1         3
## 6110             1           0        4        0        0   0         2
## 6111             1           0        0        0        0   0         3
## 6112             1           0       10        0        0   1         1
## 6113             1           0        0        0        0   1         1
## 6114             1           0        2        0        0   0         3
## 6115             1           0       20       14        0   1         3
## 6116             1           1        5        7        0   1         3
## 6117             1           0        0        0        0   1         2
## 6118             1           0        2        0        0   1         1
## 6119             1           0       14        2        0   0         2
## 6120             1           0        0        0        0   0         3
## 6121             1           1        3        2        0   0         2
## 6122             1           0        0        2        0   1         2
## 6123             1           0        0        0        0   0         3
## 6124             1           0        0        1        0   0         2
## 6125             1           0       15        3        0   0         2
## 6126             1           0        0        2        0   1         1
## 6127             1           0        0        5        0   1         3
## 6128             1           0        3        0        0   0         3
## 6129             1           0        0        0        0   0         1
## 6130             1           0        0        3        0   0         2
## 6131             1           0        0        0        0   1         2
## 6132             1           0        0        0        0   1         1
## 6134             1           0        0        5        1   0         3
## 6135             1           0        0        2        0   0         2
## 6138             1           0        0        0        0   0         2
## 6139             1           0        0        0        0   1         2
## 6140             1           1        3       10        0   1         1
## 6141             1           0        0        0        0   1         1
## 6142             1           0        2        1        0   1         1
## 6143             1           0        0        0        0   1         3
## 6144             1           0        1        1        0   0         3
## 6146             1           0        0        0        0   0         2
## 6147             1           0        2        2        0   0         2
## 6148             1           1       28        2        0   1         1
## 6150             1           0        0        0        0   1         3
## 6151             1           0        0        2        0   1         1
## 6152             1           0        0        0        0   1         1
## 6153             1           1        1        0        0   0         3
## 6154             1           0        0        0        0   1         1
## 6155             1           0        0       15        0   1         2
## 6156             1           1        0        0        0   0         3
## 6157             1           1        0        9        0   0         1
## 6158             1           0        0        0        0   0         2
## 6159             1           1        2        1        0   0         0
## 6161             1           0        0        2        0   1         1
## 6162             1           0        0        0        0   1         1
## 6163             1           0       29        0        0   0         1
## 6164             1           0        0        0        0   1         1
## 6165             1           0        0        0        0   1         3
## 6166             1           0        5        0        0   0         3
## 6167             1           0        0        0        0   1         3
## 6168             1           0        0        0        0   1         3
## 6169             1           0        0        3        0   1         2
## 6170             1           0        0        0        0   0         3
## 6171             1           0        0        0        0   1         2
## 6172             1           0        0        3        0   0         2
## 6173             1           0        0        0        0   1         3
## 6174             1           0        0        1        0   0         2
## 6175             1           0        7       15        0   1         2
## 6176             1           0        5        0        0   1         2
## 6177             1           0        0        0        0   0         2
## 6178             1           0       10        0        0   0         2
## 6179             0           0        0       14        0   1         0
## 6180             1           0        2        0        0   0         1
## 6181             1           1        0        0        0   1         0
## 6182             1           1        0        0        0   1         3
## 6183             1           0        0        0        0   1         3
## 6185             1           0        0        0        0   0         2
## 6186             1           0        0        1        0   0         1
## 6187             1           0        0        1        0   1         3
## 6188             1           0        0        2        1   0         3
## 6189             1           0        0        0        0   0         2
## 6190             1           0        0        0        0   0         2
## 6191             1           0        4        0        0   1         2
## 6192             1           0        0        0        0   0         3
## 6193             0           0        0        0        0   1         2
## 6194             1           0        0        0        0   1         1
## 6195             1           0       20       30        0   0         3
## 6196             1           0        0        5        0   1         1
## 6197             1           0        0        0        0   0         3
## 6198             1           0        0        0        0   1         3
## 6199             1           0        2        0        0   1         3
## 6200             1           0        0        0        0   1         3
## 6202             1           0        0        0        0   1         2
## 6203             1           0        0        0        0   1         2
## 6204             1           0       10        0        0   0         0
## 6205             1           0        0        0        0   0         2
## 6207             1           0        0        0        0   1         2
## 6208             1           0        0        0        1   1         1
## 6209             0           0        0        0        0   1         1
## 6210             1           0        2        0        0   1         1
## 6211             1           0       10        0        0   1         2
## 6213             1           0        0        0        0   0         3
## 6214             1           0        3        0        0   0         2
## 6215             1           0        0        0        0   1         3
## 6216             0           0        0        0        0   0         0
## 6217             1           0        0        1        0   0         3
## 6218             1           0        0        0        0   1         3
## 6219             1           0       10        0        0   1         1
## 6220             1           0        0        0        0   0         3
## 6221             1           0        1        3        1   1         3
## 6222             1           0        0        0        0   0         2
## 6223             1           0        5       30        1   0         1
## 6224             1           0        7       30        1   0         3
## 6225             1           0        0        0        0   1         3
## 6227             0           1        7        0        0   0         3
## 6228             1           0        0        0        0   1         2
## 6229             1           1        0        0        0   1         3
## 6230             1           1       14       30        0   0         3
## 6231             1           0        0        0        0   1         1
## 6232             1           0        0        0        0   1         3
## 6233             1           0        0        0        0   0         3
## 6235             1           0        2       20        1   0         3
## 6236             1           0        0        0        0   1         1
## 6237             1           0        0        0        0   1         2
## 6238             1           0        0        0        0   1         3
## 6239             1           1        2        0        0   0         2
## 6240             1           0        0        0        0   0         2
## 6241             1           0        4        0        0   0         2
## 6242             1           0        0        0        0   0         2
## 6243             1           0        0        0        0   1         3
## 6244             1           0        0        0        0   0         2
## 6246             1           0        0        0        0   0         3
## 6247             1           0        0        2        1   0         0
## 6248             1           0        0        0        1   1         3
## 6249             1           0        0        0        0   0         3
## 6250             1           0        3       10        0   0         2
## 6251             1           0        0        0        0   0         3
## 6253             1           0        0        0        0   1         3
## 6254             1           0        0        0        0   0         1
## 6255             1           0        0        0        0   1         2
## 6256             1           1       15        7        0   0         3
## 6257             1           0        7        0        0   1         2
## 6258             1           0        7        8        1   1         2
## 6259             1           1        0        2        0   0         1
## 6260             1           0        0       10        0   0         3
## 6261             1           0        2        4        0   1         3
## 6262             1           0        0        0        0   0         2
## 6263             1           0        0        3        0   0         3
## 6264             1           0        2        8        0   1         3
## 6265             1           0        0        2        0   0         3
## 6266             1           0        5        0        0   0         3
## 6267             1           0        0        0        0   0         3
## 6268             1           0        0       30        0   1         2
## 6269             1           0        0        0        0   1         3
## 6270             1           0        1        2        0   1         3
## 6271             1           1        0        0        0   0         2
## 6272             1           0        0        0        0   1         1
## 6273             1           1        0        7        1   1         1
## 6275             1           0        0        3        0   1         3
## 6276             1           0        0        0        0   1         3
## 6277             1           0        0        2        0   0         3
## 6278             1           0       15        0        0   0         3
## 6279             1           0        2        2        0   0         3
## 6280             1           0        0       14        0   0         3
## 6281             1           0        0        0        0   1         2
## 6282             1           0       20       30        1   1         1
## 6283             0           0        0        0        0   1         3
## 6284             1           0        0        0        0   0         3
## 6285             1           1        0        0        0   1         2
## 6286             1           0        1        0        0   0         1
## 6288             1           0        0        0        0   0         0
## 6289             1           0        0        0        0   0         3
## 6290             1           0        0        0        1   1         3
## 6291             1           0        0        0        0   0         3
## 6293             1           0        0       11        0   0         1
## 6294             1           0        0        0        0   0         2
## 6295             1           0        5        0        0   1         3
## 6296             1           0        2       30        1   1         1
## 6297             1           0        0        0        0   1         3
## 6298             1           1        1        3        0   0         2
## 6299             1           0        0        0        0   0         3
## 6300             1           0        0        0        0   0         2
## 6302             1           0        0        0        0   0         3
## 6303             1           0        3       30        0   1         2
## 6304             1           0        0        0        0   0         3
## 6305             1           0        2        0        0   1         3
## 6306             1           0        0        0        0   1         2
## 6307             1           0        0        6        1   1         2
## 6308             1           0        0        0        0   1         2
## 6309             1           0        3        3        0   0         1
## 6310             1           0        0        2        0   1         3
## 6311             1           0        0        0        0   1         1
## 6312             1           0        0        0        0   0         2
## 6313             1           0        0        0        0   1         1
## 6314             1           0       10        2        0   1         3
## 6315             1           0        0        0        0   1         2
## 6316             1           0        1        0        0   1         1
## 6317             1           0        0        0        0   1         2
## 6318             1           0       14        0        0   1         2
## 6319             1           0        0        0        0   1         2
## 6320             0           0        0        0        0   1         2
## 6321             1           0        0        0        0   1         2
##  [ reached 'max' / getOption("max.print") -- omitted 213071 rows ]
print(data_1)
##       Diabetes_binary HighBP HighChol CholCheck BMI Smoker Stroke
## 9                   1      1        1         1  30      1      0
## 11                  1      0        0         1  25      1      0
## 14                  1      1        1         1  28      0      0
## 18                  1      0        0         1  23      1      0
## 24                  1      1        0         1  27      0      0
## 27                  1      1        1         1  37      1      1
## 28                  1      1        1         1  28      1      0
## 29                  1      1        1         1  27      1      0
## 31                  1      1        1         1  34      1      1
## 35                  1      1        1         1  24      1      0
## 42                  1      1        0         1  31      0      0
## 50                  1      1        1         1  33      1      0
## 53                  1      1        1         1  27      1      0
## 61                  1      1        0         1  27      0      0
## 69                  1      1        0         1  21      1      0
## 70                  1      1        1         1  23      1      1
## 72                  1      1        1         1  27      0      0
## 77                  1      1        0         1  35      0      0
## 84                  1      0        1         1  32      0      0
## 86                  1      1        1         1  45      0      0
## 90                  1      1        1         1  31      1      0
## 93                  1      1        1         1  29      1      0
## 94                  1      0        1         1  29      1      1
## 96                  1      1        1         1  25      1      0
## 97                  1      0        0         1  32      0      0
## 104                 1      1        1         1  30      0      0
## 108                 1      1        1         1  32      1      0
## 122                 1      0        0         1  29      0      0
## 138                 1      1        1         1  24      1      0
## 144                 1      1        0         1  28      0      0
## 145                 1      1        1         1  29      1      0
## 151                 1      1        1         1  29      0      0
## 153                 1      1        0         1  26      0      0
## 154                 1      1        0         1  33      0      0
## 157                 1      1        1         1  47      1      0
## 159                 1      1        1         1  27      0      0
## 161                 1      0        1         1  34      1      0
## 164                 1      1        0         1  40      0      0
## 166                 1      1        0         1  34      0      0
## 171                 1      1        1         1  29      1      0
## 172                 1      1        1         1  28      0      0
## 177                 1      1        0         1  32      1      0
## 178                 1      1        1         1  37      0      0
## 195                 1      1        0         1  33      0      0
## 198                 1      1        1         1  29      1      1
## 202                 1      1        1         1  55      0      0
## 211                 1      1        1         1  31      1      0
## 218                 1      1        1         1  28      1      1
## 220                 1      1        0         1  30      0      0
## 236                 1      1        0         1  38      1      0
## 238                 1      1        1         1  24      1      0
## 239                 1      1        1         1  32      0      0
## 244                 1      0        0         1  34      1      0
## 250                 1      1        1         1  26      1      0
## 251                 1      1        1         1  23      0      0
## 261                 1      0        1         1  27      0      1
## 267                 1      0        0         1  28      1      0
## 268                 1      1        1         1  16      0      0
## 269                 1      1        1         1  31      1      1
## 270                 1      1        1         1  27      0      0
## 275                 1      1        1         1  37      0      0
## 280                 1      1        0         1  26      0      0
## 286                 1      1        1         1  29      1      0
## 290                 1      0        0         1  30      1      0
## 292                 1      1        1         1  21      0      1
## 296                 1      1        0         1  25      0      0
## 310                 1      0        1         1  30      1      0
## 311                 1      1        0         1  32      0      0
## 316                 1      1        1         1  27      1      0
## 317                 1      1        1         1  34      0      0
## 318                 1      1        1         1  26      1      1
## 321                 1      1        1         1  23      0      1
## 322                 1      1        1         1  45      0      0
## 323                 1      1        1         1  37      1      0
## 325                 1      1        1         1  31      1      0
## 332                 1      1        1         1  25      1      0
## 333                 1      0        0         1  43      0      0
## 342                 1      1        1         1  24      0      0
## 354                 1      1        0         1  38      1      1
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##  [ reached 'max' / getOption("max.print") -- omitted 30083 rows ]
# Calculate all variables means
means0 <- colMeans(data_0, na.rm = FALSE)

means1 <- colMeans(data_1, na.rm = FALSE)
# Find out which variables change most
means_tibble1 <- tibble(
  Variable = names(data1),
  DataMean0 = means0,
  DataMean1 = means1
)
variable_types1 <- sapply(data_1, class)

# Show changed in percentage
means_tibble1 <- means_tibble1 %>%
  mutate(DataType = variable_types1[Variable],PercentageChange = ((DataMean1 - DataMean0) / DataMean0) * 100) %>%
  arrange(desc(PercentageChange))

print(means_tibble1)
## # A tibble: 19 × 5
##    Variable             DataMean0 DataMean1 DataType PercentageChange
##    <chr>                    <dbl>     <dbl> <chr>               <dbl>
##  1 Diabetes_binary         0         1      integer            Inf   
##  2 HeartDiseaseorAttack    0.0734    0.223  integer            204.  
##  3 Stroke                  0.0322    0.0925 integer            187.  
##  4 DiffWalk                0.135     0.371  integer            174.  
##  5 PhysHlth                3.64      7.95   integer            118.  
##  6 HighBP                  0.377     0.753  integer             99.9 
##  7 HighChol                0.384     0.670  integer             74.4 
##  8 MentHlth                2.98      4.46   integer             49.8 
##  9 NoDocbcCost             0.0807    0.106  integer             31.2 
## 10 Smoker                  0.431     0.518  integer             20.2 
## 11 BMI                    27.8      31.9    integer             14.9 
## 12 Sex                     0.434     0.479  integer             10.4 
## 13 CholCheck               0.958     0.993  integer              3.70
## 14 AnyHealthcare           0.950     0.960  integer              1.07
## 15 Veggies                 0.820     0.756  integer             -7.79
## 16 Fruits                  0.642     0.585  integer             -8.83
## 17 Education               2.11      1.78   integer            -15.7 
## 18 PhysActivity            0.777     0.631  integer            -18.8 
## 19 HvyAlcoholConsump       0.0615    0.0235 integer            -61.7
# "HeartDiseaseorAttack" "Stroke" "DiffWalk" "PhysHlth"  "HighBP"  "HighChol" "MentHlth" "GenHlth" "Age" "BMI"
df2 <- data0[, c("Diabetes_binary","PhysHlth", "MentHlth", "HeartDiseaseorAttack","Stroke", "DiffWalk", "HighBP", "HighChol","GenHlth","Age","BMI")]

print(df2)
##      Diabetes_binary PhysHlth MentHlth HeartDiseaseorAttack Stroke DiffWalk
## 1                  0       15       18                    0      0        1
## 2                  0        0        0                    0      0        0
## 3                  0       30       30                    0      0        1
## 4                  0        0        0                    0      0        0
## 5                  0        0        3                    0      0        0
## 6                  0        2        0                    0      0        0
## 7                  0       14        0                    0      0        0
## 8                  0        0        0                    0      0        1
## 9                  1       30       30                    1      0        1
## 10                 0        0        0                    0      0        0
## 11                 1        0        0                    0      0        0
## 12                 0       30        0                    0      0        1
## 13                 0       15        0                    0      0        0
## 14                 1        0        0                    0      0        1
## 15                 0       28       30                    0      1        0
## 16                 0        0        5                    0      0        0
## 17                 0        0        0                    0      0        0
## 18                 1        0        0                    0      0        0
## 19                 0        0       15                    0      0        0
## 20                 0        0       10                    0      0        0
## 21                 0        0       30                    1      1        1
## 22                 0       30       15                    0      0        1
## 23                 0        7        0                    0      0        0
## 24                 1        0        0                    0      0        0
## 25                 0        0        6                    0      0        1
## 26                 0        0        0                    0      0        0
## 27                 1        0        0                    1      1        1
## 28                 1        0        0                    1      0        0
## 29                 1       20       20                    0      0        1
## 30                 0        0        0                    0      0        0
## 31                 1        7        0                    0      1        1
## 32                 0        0        0                    0      0        1
## 33                 0        0        2                    0      0        0
## 34                 0        0        0                    0      0        0
## 35                 1        0        0                    0      0        0
## 36                 0        0        0                    0      0        0
## 37                 0        3        5                    0      0        1
## 38                 0       10        0                    0      0        0
## 39                 0        1        0                    0      0        0
## 40                 0       30        0                    0      0        0
## 41                 0        1        0                    0      0        0
## 42                 1        5        0                    0      0        0
## 43                 0       30       15                    0      1        1
## 44                 0        0       25                    0      0        0
## 45                 0        0        0                    0      0        0
## 46                 0        0       30                    0      0        0
## 47                 0        0        5                    0      0        0
## 48                 0        0        1                    1      0        0
## 49                 0        2       30                    0      0        1
## 50                 1       30        0                    0      0        1
## 51                 0       17       10                    1      0        1
## 52                 0        0        0                    0      0        0
## 53                 1       30        0                    0      0        1
## 54                 0        0        0                    0      0        0
## 55                 0        0        4                    0      0        0
## 56                 0       10        0                    0      0        0
## 57                 0        5        0                    0      0        0
## 58                 0        0        0                    0      0        0
## 59                 0        0        1                    1      0        0
## 60                 0        0        0                    0      0        0
## 61                 1        0        0                    0      0        0
## 62                 0        5        0                    0      0        1
## 63                 0        0        0                    0      0        0
## 64                 0        1        5                    0      0        0
## 65                 0       30       30                    0      0        1
## 66                 0        5       10                    1      1        1
## 67                 0        0        0                    0      0        0
## 68                 0        7        0                    0      0        1
## 69                 1        0        0                    0      0        1
## 70                 1        0        2                    1      1        0
## 71                 0        0        0                    0      0        0
## 72                 1        2        4                    1      0        0
## 73                 0        0        0                    0      0        0
## 74                 0        0        0                    0      0        0
## 75                 0        0        0                    0      0        0
## 76                 0        4        0                    0      0        0
## 77                 1        0        0                    0      0        0
## 78                 0       10        0                    1      0        1
## 79                 0        0        4                    0      0        0
## 80                 0        0        0                    0      0        0
## 81                 0        0        0                    0      0        0
## 82                 0        0        3                    0      0        0
## 83                 0        0        0                    0      1        1
## 84                 1        0        0                    1      0        1
## 85                 0        1        0                    0      0        0
## 86                 1       30        2                    0      0        1
## 87                 0        2        7                    0      0        0
## 88                 0        1        1                    0      0        0
## 89                 0        0       10                    0      0        0
## 90                 1        0        0                    1      0        0
## 91                 0       15        5                    0      0        0
## 92                 0        0        5                    0      0        0
## 93                 1        0        0                    0      0        0
## 94                 1       10       30                    0      1        1
## 95                 0        0        0                    0      0        0
## 96                 1       30       15                    1      0        1
## 97                 1        3        0                    0      0        0
## 98                 0        0        0                    0      0        0
## 99                 0        0        0                    0      0        1
## 100                0        3        2                    1      0        0
## 101                0        0        0                    0      0        0
## 102                0        0        0                    1      0        0
## 103                0        0        0                    0      0        0
## 104                1        0        0                    0      0        0
## 105                0        0        0                    0      0        0
## 106                0       30        0                    0      0        0
## 107                0        0       30                    0      0        0
## 108                1        0        0                    0      0        0
## 109                0       10        0                    0      0        0
## 110                0       15        0                    0      0        1
## 111                0       19       30                    0      0        0
## 112                0       20        0                    0      0        1
## 113                0        0        0                    0      0        0
## 114                0        0        0                    0      0        0
## 115                0        0        1                    0      0        0
## 116                0       30       30                    0      0        1
## 117                0        0        0                    1      0        0
## 118                0        0        2                    0      0        0
## 119                0        4       20                    0      0        0
## 120                0        0        0                    0      0        0
## 121                0        0        0                    0      0        0
## 122                1       10        0                    0      0        0
## 123                0        7       15                    1      0        1
## 124                0        7        0                    0      0        0
## 125                0        0        0                    0      0        1
## 126                0        0       10                    0      0        0
## 127                0       30        0                    1      1        1
## 128                0        3        3                    0      0        0
## 129                0        1        0                    0      0        0
## 130                0       30        0                    0      0        1
## 131                0        0        0                    0      0        0
## 132                0        0       15                    0      0        0
## 133                0       20        0                    1      0        1
## 134                0       30       30                    0      0        0
## 135                0        5        0                    0      0        0
## 136                0       15       10                    0      0        0
## 137                0        0        0                    0      0        0
## 138                1        0        0                    0      0        0
## 139                0        0        0                    0      0        0
## 140                0        6        1                    0      0        1
## 141                0        6       10                    0      0        0
## 142                0       10        8                    0      1        1
## 143                0        0        0                    0      0        0
## 144                1        0        0                    0      0        0
## 145                1        0        0                    0      0        0
## 146                0        0        0                    0      0        0
## 147                0        3       15                    0      1        1
## 148                0        0        0                    0      0        0
## 149                0        0        5                    0      0        0
## 150                0        0        0                    0      0        0
## 151                1        3        2                    0      0        0
## 152                0        0        0                    0      0        0
## 153                1        0        0                    0      0        0
## 154                1       30        3                    0      0        1
## 155                0        0       21                    0      0        1
## 156                0        0        0                    0      0        0
## 157                1        0        0                    0      0        1
## 158                0        0        0                    1      0        0
## 159                1       14       14                    0      0        0
## 160                0        2        0                    0      0        0
## 161                1        2        0                    0      0        0
## 162                0        0        0                    0      0        0
## 163                0        1        4                    0      0        1
## 164                1        2        2                    0      0        0
## 165                0        0        0                    0      0        0
## 166                1        5        0                    0      0        1
## 167                0       15        3                    0      0        1
## 168                0        0        0                    0      0        1
## 169                0        0        0                    0      0        0
## 170                0        0        0                    0      0        1
## 171                1        0        0                    0      0        0
## 172                1       30        0                    1      0        1
## 173                0        4       26                    0      0        0
## 174                0        2        0                    0      0        0
## 175                0       30        0                    1      1        1
## 176                0        2        2                    0      0        0
## 177                1       15        0                    0      0        1
## 178                1        0        0                    1      0        1
## 179                0        4        0                    1      0        0
## 180                0        6        0                    0      0        0
## 181                0        5        3                    0      0        0
## 182                0       30        0                    0      0        1
## 183                0        0        1                    0      0        0
## 184                0        0        0                    0      0        0
## 185                0        0       30                    0      0        0
## 186                0        0        2                    0      0        0
## 187                0        0        0                    0      0        0
## 188                0        5        0                    0      0        1
## 189                0        7        0                    0      0        1
## 190                0        0        0                    0      0        0
## 191                0        1        0                    0      0        1
## 192                0       30        1                    1      0        0
## 193                0        0        0                    0      0        0
## 194                0        0        0                    0      0        0
## 195                1        2        0                    0      0        0
## 196                0        0        0                    0      0        0
## 197                0        0        0                    0      0        0
## 198                1       15       15                    1      1        0
## 199                0        1        4                    0      0        0
## 200                0        0        0                    0      0        0
## 201                0        2        5                    0      0        0
## 202                1       15        0                    0      0        0
## 203                0        0        4                    0      0        0
## 204                0        1       15                    0      1        0
## 205                0        0        0                    0      0        0
## 206                0        0        0                    0      0        0
## 207                0        2        0                    0      0        0
## 208                0        2        0                    0      0        0
## 209                0        1        2                    0      0        0
## 210                0        0        0                    0      0        0
## 211                1        2        4                    0      0        0
## 212                0        0        0                    0      0        1
## 213                0        2        7                    0      0        0
## 214                0        7       30                    0      0        0
## 215                0        0        0                    0      0        0
## 216                0        0        1                    0      0        0
## 217                0        2        0                    0      0        0
## 218                1        0        0                    0      1        0
## 219                0       12        7                    0      0        1
## 220                1        0        0                    0      0        0
## 221                0        0        0                    0      0        0
## 222                0        0       30                    1      0        1
## 223                0       30        0                    0      0        1
## 224                0        0        0                    0      0        0
## 225                0        1       15                    0      0        0
## 226                0       14        0                    0      0        0
## 227                0        0        0                    0      0        0
## 228                0        0        0                    0      0        0
## 229                0        0        5                    0      0        0
## 230                0        0        5                    0      0        0
## 231                0       30       10                    0      0        1
## 232                0        0        0                    0      0        0
## 233                0        0        1                    0      0        0
## 234                0        5       20                    0      0        1
## 235                0        0        0                    0      0        0
## 236                1       30       15                    0      0        1
## 237                0       30       30                    0      0        1
## 238                1        0        0                    0      0        0
## 239                1       28        0                    0      0        1
## 240                0        0        0                    0      0        0
## 241                0        2       10                    0      0        0
## 242                0        0        0                    0      0        0
## 243                0        0        0                    0      0        0
## 244                1        0        0                    0      0        0
## 245                0        0        0                    0      0        0
## 246                0        0        0                    0      0        0
## 247                0        0        0                    0      0        0
## 248                0        0        0                    0      0        0
## 249                0        0        0                    0      0        0
## 250                1        0        0                    1      0        0
## 251                1        0        0                    0      0        0
## 252                0        3        5                    0      0        1
## 253                0        0        0                    0      0        0
## 254                0        0        0                    0      0        0
## 255                0        0        0                    1      0        0
## 256                0       30        0                    1      0        0
## 257                0        0        2                    0      0        0
## 258                0       30        7                    0      0        1
## 259                0       15       20                    0      0        0
## 260                0        0        0                    0      0        0
## 261                1       14        0                    0      1        0
## 262                0        0        0                    1      0        0
## 263                0        2        0                    0      0        0
## 264                0       30       30                    0      0        1
## 265                0        0        0                    0      0        0
## 266                0        2        0                    1      0        1
## 267                1        0        0                    0      0        1
## 268                1        0        0                    0      0        0
## 269                1        0        0                    1      1        0
## 270                1        0        0                    0      0        1
## 271                0        0        0                    0      0        0
## 272                0        0        3                    0      0        0
## 273                0        0        0                    0      0        0
## 274                0        2        0                    0      0        0
## 275                1       15       10                    0      0        1
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## 280                1        2       14                    0      0        0
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## 283                0        2        4                    0      0        0
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## 287                0        0        0                    0      0        0
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## 289                0        3        0                    0      0        0
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## 294                0       25       10                    0      0        0
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## 310                1        0        0                    0      0        0
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## 317                1        0        7                    1      0        1
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## 320                0        3        0                    0      0        0
## 321                1        2        0                    0      1        0
## 322                1       15       10                    0      0        1
## 323                1       27        0                    0      0        1
## 324                0       30       21                    0      0        1
## 325                1       30       15                    1      0        1
## 326                0       30       30                    0      0        0
## 327                0        0        0                    0      0        1
## 328                0        0        0                    0      0        0
## 329                0        0        0                    0      0        0
## 330                0        0        0                    0      0        0
## 331                0        7       20                    0      0        0
## 332                1        6        3                    0      0        1
## 333                1        0        0                    0      0        1
## 334                0        0       15                    0      0        0
## 335                0        0        0                    0      0        0
## 336                0        0        0                    0      0        0
## 337                0        1        0                    1      0        0
## 338                0        7       15                    1      0        0
## 339                0        0        0                    0      0        0
## 340                0       30        0                    0      0        1
## 341                0        0        0                    0      0        1
## 342                1        0        0                    0      0        0
## 343                0        5       15                    0      0        0
## 344                0        1        0                    0      0        0
## 345                0       21       30                    1      1        1
## 346                0        0        3                    0      0        0
## 347                0       30       30                    0      0        1
## 348                0       10        5                    0      0        0
## 349                0        0        0                    1      0        0
## 350                0       30       14                    0      0        1
## 351                0        7        0                    0      1        0
## 352                0        0        0                    0      0        1
## 353                0       22       29                    1      0        1
## 354                1        0        0                    0      1        1
## 355                0        4        0                    0      0        0
## 356                1        0        0                    0      0        0
## 357                0        0        0                    0      0        1
## 358                1        5        0                    0      0        1
## 359                0       30        0                    0      0        1
## 360                0        1        0                    0      0        0
## 361                0       15       30                    0      0        1
## 362                1       20       20                    1      0        1
## 363                0        0        0                    0      0        0
## 364                1       15        5                    1      1        1
## 365                0        0        0                    0      0        0
## 366                0        0        0                    0      0        0
## 367                0        0        0                    0      0        1
## 368                0       30        0                    0      0        0
## 369                1        0        0                    0      0        1
## 370                1        8       16                    0      0        0
## 371                0        0        0                    0      0        0
## 372                0       20        4                    0      0        0
## 373                0        0        0                    0      0        0
## 374                0        1        0                    0      0        0
## 375                1       10        0                    0      0        0
## 376                1        2        0                    0      1        1
## 377                0        0        0                    0      0        0
## 378                1       10        0                    0      0        0
## 379                1        0        0                    0      0        0
## 380                0       30       25                    0      0        1
## 381                0        0        7                    0      0        0
## 382                0        0        0                    1      0        0
## 383                0       29        0                    0      0        1
## 384                0        0        0                    0      0        0
## 385                1        7        0                    0      0        1
## 386                0        0       10                    0      0        0
## 387                0        1        0                    0      0        0
## 388                0        0        0                    0      0        0
## 389                1       30        3                    0      1        1
## 390                0        0        0                    0      0        0
## 391                0       15        0                    0      0        1
## 392                0        0        0                    0      0        0
## 393                0       30       25                    0      0        1
## 394                0        2        5                    1      0        0
## 395                0        0        0                    0      0        0
## 396                1        0        0                    0      0        1
## 397                0       14        0                    1      0        0
## 398                0        0       30                    0      0        0
## 399                0        0        0                    0      0        0
## 400                0       10        5                    0      0        0
## 401                0       24       28                    1      0        1
## 402                1        0        0                    0      0        0
## 403                1       30        0                    0      0        1
## 404                1        0        0                    0      1        1
## 405                0        0        0                    0      0        0
## 406                0        7        5                    0      0        1
## 407                1        0        2                    0      0        0
## 408                0        0        0                    0      0        0
## 409                1        2        2                    1      0        0
## 410                0        0        0                    0      0        0
## 411                0       30       30                    0      0        1
## 412                1        0        4                    0      0        1
## 413                0       30        0                    0      0        0
## 414                0       30        5                    1      0        1
## 415                0        0        0                    1      0        1
## 416                0       30        2                    0      0        1
## 417                0        3        0                    0      0        0
## 418                1       15       10                    1      1        1
## 419                1       30       25                    0      0        1
## 420                0        0       30                    0      0        0
## 421                1        6        2                    0      1        1
## 422                1       14        0                    1      1        1
## 423                0        0        0                    0      0        0
## 424                0        0        0                    0      0        0
## 425                0        0        0                    0      0        0
## 426                0        0        0                    0      0        0
## 427                1        5        3                    0      0        1
## 428                0        0        0                    0      0        0
## 429                0        0        0                    0      0        0
## 430                0        1        4                    0      0        0
## 431                0        7        7                    0      0        1
## 432                0        3        2                    1      0        0
## 433                0        0        6                    0      0        0
## 434                0        0        0                    0      0        0
## 435                0       30       30                    0      0        1
## 436                0        0        0                    0      0        0
## 437                0        0       30                    0      0        0
## 438                0       30       30                    0      0        0
## 439                0        0        0                    0      0        0
## 440                0        0        0                    0      0        0
## 441                0        0        0                    1      1        0
## 442                1        1       20                    0      0        0
## 443                0       20        2                    0      0        1
## 444                0        3        0                    0      0        0
## 445                0        0        0                    0      0        0
## 446                1        7        0                    1      0        0
## 447                0        0        0                    0      1        0
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## 449                0        0        0                    0      0        0
## 450                0        0        0                    1      0        0
## 451                0        3        5                    1      0        0
## 452                0       30       25                    0      0        1
## 453                1        0        5                    0      0        0
## 454                0        0        1                    0      0        0
## 455                1        0        0                    0      0        0
## 456                1       30        3                    0      0        0
## 457                1        3        0                    0      1        1
## 458                0       14        0                    0      0        0
## 459                1       30        5                    0      0        1
## 460                0        0        0                    0      0        0
## 461                1        0        0                    0      0        0
## 462                0        1        0                    0      0        0
## 463                0        0        0                    0      0        0
## 464                0        0        0                    0      0        0
## 465                0       30        4                    0      0        1
## 466                0        5        5                    0      0        0
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## 8645               1       30        0                    0      0        1
## 8646               0        0        0                    0      0        0
## 8647               0        0        0                    0      0        0
## 8648               0        0        0                    0      0        1
## 8649               0        0       30                    0      0        0
## 8650               0        0        0                    0      1        0
## 8651               0       30        0                    0      0        1
## 8652               0        0        0                    1      0        0
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## 8670               1       30       30                    1      1        1
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## 8672               1        2        0                    0      0        0
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## 8711               1       30       30                    1      1        1
## 8712               0        0        1                    0      0        0
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## 8733               0       30       30                    0      0        0
## 8734               1        0        0                    0      0        0
## 8735               1        4        0                    0      0        1
## 8736               0        0        0                    0      0        0
## 8737               0        0        0                    0      0        0
## 8738               0        0        8                    0      0        0
## 8739               0        2        0                    0      0        0
## 8740               0       15        0                    0      0        1
## 8741               0        0       25                    0      0        0
## 8742               0        7        0                    0      0        1
## 8743               0        0        0                    0      0        0
## 8744               0        0        3                    1      1        0
## 8745               0        0        1                    0      0        0
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## 8747               0        0       15                    0      0        0
## 8748               1        1        0                    0      0        0
## 8749               0       30        0                    0      0        1
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## 8752               0        0        0                    0      0        1
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## 8756               1        0        0                    0      0        0
## 8757               0       21        0                    0      0        1
## 8758               0        0        0                    0      0        0
## 8759               0        5        5                    0      0        0
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## 8763               0        4       30                    0      0        1
## 8764               0        3       10                    0      0        0
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## 8766               0        0        1                    0      0        1
## 8767               1        1        2                    0      0        0
## 8768               0        0        0                    0      0        0
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## 8770               0        0       10                    0      0        0
## 8771               0        0        0                    0      0        0
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## 8773               1        0        0                    0      0        0
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## 8778               0        1       10                    0      0        0
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## 8780               1        0        2                    0      0        0
## 8781               1        0        0                    0      0        0
## 8782               0        7        1                    0      0        1
## 8783               0       10        2                    0      0        1
## 8784               0        0       14                    0      0        0
## 8785               0        0        0                    0      0        0
## 8786               1        0        0                    0      0        1
## 8787               0        0       10                    0      0        0
## 8788               0        0        0                    0      0        0
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## 8790               0        0        0                    0      0        0
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## 8797               0        4        0                    0      0        0
## 8798               0       30       30                    0      0        1
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## 8800               0        5        0                    0      0        0
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## 8802               1        0        0                    0      0        0
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## 8806               0       30       30                    0      0        1
## 8807               0        0        0                    0      0        0
## 8808               0        0        0                    0      0        1
## 8809               0        0        2                    0      0        0
## 8810               0        0        0                    0      0        0
## 8811               0       30        3                    0      0        0
## 8812               0        0        0                    0      0        1
## 8813               0        0        0                    0      0        0
## 8814               0        1        0                    0      0        0
## 8815               0        0        2                    0      0        0
## 8816               1       15        0                    0      0        0
## 8817               0        0        0                    0      0        0
## 8818               1        3        0                    0      0        1
## 8819               0        5        0                    0      0        0
## 8820               0        0        0                    0      0        0
## 8821               0       28        5                    0      0        1
## 8822               0        0        3                    0      0        0
## 8823               1        0        0                    1      0        0
## 8824               0       10        0                    0      0        0
## 8825               0        0        2                    0      0        0
## 8826               0        0        0                    0      0        0
## 8827               0        0        0                    0      0        0
## 8828               1        2        0                    0      0        1
## 8829               0        5        5                    0      0        0
## 8830               0        2        0                    0      0        0
## 8831               0        0        0                    0      0        0
## 8832               1        2        2                    0      0        1
## 8833               0        3        0                    0      0        1
## 8834               0        0        0                    0      0        0
## 8835               0       15        1                    0      0        0
## 8836               0       30        0                    0      0        0
## 8837               0        2        1                    0      0        0
## 8838               1        0        0                    0      0        0
## 8839               1       30        0                    0      1        1
## 8840               0        0        0                    0      0        0
## 8841               0       30        0                    0      0        0
## 8842               0        1        0                    0      0        0
## 8843               0        0        1                    0      0        0
## 8844               0        0        0                    0      0        0
## 8845               0       28        0                    0      0        0
## 8846               0        0        0                    0      0        1
## 8847               0        0        0                    0      0        1
## 8848               0        0        0                    0      0        0
## 8849               1       30        0                    0      0        0
## 8850               0       30        0                    1      0        1
## 8851               1        0        0                    1      0        1
## 8852               0        0        0                    0      0        0
## 8853               0        0        0                    0      0        0
## 8854               1        0        0                    0      0        0
## 8855               1        0        0                    0      0        1
## 8856               0        0        0                    0      0        0
## 8857               0        0        0                    0      0        0
## 8858               0        0        5                    0      1        0
## 8859               1        5       30                    1      0        1
## 8860               0        4        0                    0      0        0
## 8861               0        0        0                    0      0        0
## 8862               1        0        0                    0      0        0
## 8863               0       30        4                    1      0        1
## 8864               0        0       10                    0      0        0
## 8865               0        0        5                    0      0        0
## 8866               0        0        0                    0      0        0
## 8867               0        7        0                    0      0        1
## 8868               0        0        0                    0      0        0
## 8869               0        0       15                    0      0        0
## 8870               0        0        0                    0      0        0
## 8871               0        0        0                    0      0        0
## 8872               0        1        0                    0      0        0
## 8873               0       30        0                    0      0        0
## 8874               0       15        0                    0      0        0
## 8875               0       30        0                    0      0        0
## 8876               0        5        0                    0      0        0
## 8877               0        0        0                    0      0        0
## 8878               0        3        0                    0      0        0
## 8879               0        2        0                    0      1        1
## 8880               1       10        5                    0      0        1
## 8881               0        0        0                    0      0        1
## 8882               0       30       25                    1      1        1
## 8883               0        0        0                    1      0        0
## 8884               0        0        0                    0      0        0
## 8885               0        0        0                    0      0        0
## 8886               0        0        0                    0      0        1
## 8887               0        0        0                    0      0        0
## 8888               0        0        0                    0      1        0
## 8889               0        0        0                    0      0        0
## 8890               0        0        0                    0      0        1
## 8891               0        0        0                    0      0        0
## 8892               0        3        2                    0      0        0
## 8893               0        0        0                    0      0        0
## 8894               0        0       10                    0      0        0
## 8895               0        0       30                    0      0        0
## 8896               0        0        0                    0      0        0
## 8897               0        0        0                    0      0        0
## 8898               0        0        3                    0      0        0
## 8899               0        0        0                    0      0        0
## 8900               0       30        2                    0      0        0
## 8901               0        0        0                    0      0        0
## 8902               0        0        0                    0      0        0
## 8903               0        0        0                    0      0        0
## 8904               0        2        0                    0      0        0
## 8905               0       30       15                    0      0        0
## 8906               0        1        1                    0      0        0
## 8907               0        0        0                    0      0        0
## 8908               0        0        0                    0      0        0
## 8909               0        0        0                    0      0        0
## 8910               0        0        0                    0      0        0
## 8911               1        0        0                    0      0        0
## 8912               0        0        0                    0      0        0
## 8913               0        2        0                    0      0        0
## 8914               0        7        0                    0      1        1
## 8915               1        0        0                    0      0        0
## 8916               0        0        1                    0      0        0
## 8917               0        7        0                    0      0        1
## 8918               0        0        0                    0      0        0
## 8919               1        0        2                    0      0        0
## 8920               1        0        2                    0      0        1
## 8921               1       10        2                    0      0        0
## 8922               0       15        0                    0      0        1
## 8923               0        0        0                    0      0        0
## 8924               1        5        0                    1      1        1
## 8925               0        0        0                    0      0        0
## 8926               0        0        0                    0      0        0
## 8927               0       30        0                    0      0        0
## 8928               0        0        0                    0      0        0
## 8929               0        0        0                    0      0        0
## 8930               0        0        2                    0      0        0
## 8931               0       30        0                    0      1        1
## 8932               0        0       15                    0      0        0
## 8933               1        0        0                    1      0        1
## 8934               0        0        0                    0      0        0
## 8935               0        0        0                    0      0        0
## 8936               0        0        0                    0      0        0
## 8937               0        0        1                    0      0        1
## 8938               0        0        0                    0      0        0
## 8939               0        0       30                    0      0        0
## 8940               0        0        1                    0      0        0
## 8941               0        0        0                    1      1        0
## 8942               0        1        0                    0      0        0
## 8943               0        0        0                    0      0        0
## 8944               1        0        0                    0      0        0
## 8945               0        0        0                    0      0        1
## 8946               1        0        0                    0      0        0
## 8947               0        0        0                    0      0        0
## 8948               0        0        0                    0      0        0
## 8949               0       20        0                    0      0        0
## 8950               0        0        0                    0      0        0
## 8951               1        0        0                    0      0        0
## 8952               0        0        0                    0      0        0
## 8953               0        0        0                    0      0        0
## 8954               0       30        4                    1      1        0
## 8955               0        0        0                    0      0        0
## 8956               0        1        2                    0      0        0
## 8957               0        0        0                    0      0        0
## 8958               0        2        0                    0      0        0
## 8959               0        0       10                    1      0        0
## 8960               0        0        0                    0      0        0
## 8961               0        0        3                    0      0        0
## 8962               1       12        0                    1      1        1
## 8963               0        9        3                    1      0        1
## 8964               0       14       30                    0      0        0
## 8965               0        0        0                    0      0        0
## 8966               0        4        0                    1      0        1
## 8967               1       30       30                    0      0        1
## 8968               0        0        0                    0      0        0
## 8969               0        0        0                    0      0        0
## 8970               1        5        0                    0      0        0
## 8971               1       25       10                    0      0        0
## 8972               0        0        0                    0      0        0
## 8973               1       20        5                    0      0        1
## 8974               1        0        0                    0      0        1
## 8975               0        0        0                    0      0        0
## 8976               0        0        0                    0      0        1
## 8977               0        0       15                    0      0        0
## 8978               0        0        0                    0      0        0
## 8979               0        0        0                    0      0        0
## 8980               0       10        3                    0      0        0
## 8981               0        0        0                    0      0        0
## 8982               0       30       30                    0      1        1
## 8983               0       10        1                    0      0        1
## 8984               0        2        4                    0      0        0
## 8985               0        0        3                    0      0        0
## 8986               0        0        0                    1      0        0
## 8987               0       20       25                    1      1        1
## 8988               0        0        2                    0      0        0
## 8989               0        0        0                    0      0        0
## 8990               0        0        0                    0      0        0
## 8991               0        0        0                    0      0        0
## 8992               0        0        4                    0      0        0
## 8993               0        0        0                    0      0        0
## 8994               1       30        0                    0      0        1
## 8995               0        3        0                    0      0        0
## 8996               0        0        0                    0      0        0
## 8997               0        0        0                    1      0        0
## 8998               0        0        0                    0      0        0
## 8999               0        0        0                    0      0        0
## 9000               0        1        0                    0      0        0
## 9001               0        0       15                    0      0        0
## 9002               0        0        0                    1      0        0
## 9003               0        0        0                    0      0        0
## 9004               0        0        0                    0      0        0
## 9005               0        7       30                    0      0        0
## 9006               0        0        0                    0      0        0
## 9007               0        0        0                    0      0        0
## 9008               0        5        0                    0      0        0
## 9009               0        0        0                    0      0        0
## 9010               0        0        0                    0      0        0
## 9011               0        0        0                    0      0        0
## 9012               0        0        3                    0      0        0
## 9013               0        0        0                    0      0        0
## 9014               0        0       10                    0      0        0
## 9015               0        0        0                    0      0        0
## 9016               0        0        0                    0      0        0
## 9017               0        0        0                    0      0        0
## 9018               0        0        0                    0      0        0
## 9019               0        0        0                    0      0        0
## 9020               1        0        0                    0      0        0
## 9021               0        0        0                    0      0        0
## 9022               1        0        5                    0      0        0
## 9023               0        0        0                    1      0        0
## 9024               0       30       20                    0      0        1
## 9025               0        0        0                    0      0        0
## 9026               1        6        0                    0      0        0
## 9027               1        0        0                    1      0        1
## 9028               0        0        0                    0      0        0
## 9029               1        0        0                    1      0        0
## 9030               0        0        0                    0      1        0
## 9031               0        0        0                    0      0        0
## 9032               0       10       10                    0      0        1
## 9033               1       30       30                    0      0        1
## 9034               0        0        0                    0      0        0
## 9035               0        0        0                    0      0        0
## 9036               0        0        0                    0      0        0
## 9037               0       15        5                    0      0        1
## 9038               0        1        0                    0      0        0
## 9039               0        0        0                    0      0        1
## 9040               0        0        2                    0      0        0
## 9041               0        0        0                    0      0        0
## 9042               0        0       15                    0      0        1
## 9043               0        2        0                    0      0        0
## 9044               0       10       30                    1      1        1
## 9045               0        0        0                    0      0        0
## 9046               0        0        0                    0      0        1
## 9047               0        1        0                    0      0        0
## 9048               0        0        0                    0      0        0
## 9049               0       30        0                    0      0        0
## 9050               0        0        0                    0      0        0
## 9051               0        1        2                    0      0        0
## 9052               1        3        0                    0      0        0
## 9053               0        0        0                    0      0        0
## 9054               0       14       30                    0      0        1
## 9055               0        0        0                    0      0        0
## 9056               0       30        0                    0      0        1
## 9057               0        0        2                    0      0        0
## 9058               0        0        0                    0      0        0
## 9059               0        0        0                    0      0        0
## 9060               0       30       30                    0      0        0
## 9061               0        0        0                    0      0        0
## 9062               0        4        0                    0      0        0
## 9063               0        0        0                    0      0        0
## 9064               0       30        0                    1      0        1
## 9065               0        0        0                    0      0        0
## 9066               0        0        0                    0      0        0
## 9067               0        9        5                    0      0        0
## 9068               0        0        0                    0      0        0
## 9069               0        0        0                    0      0        0
## 9070               0       25       25                    0      0        1
## 9071               0        0        0                    0      0        0
## 9072               1       30        0                    1      0        0
## 9073               0        0        0                    0      0        1
## 9074               0        0        2                    0      0        0
## 9075               0        0        5                    0      0        0
## 9076               0        0       10                    0      0        0
## 9077               0        0        0                    0      0        1
## 9078               0        0        2                    0      0        0
## 9079               1        0        0                    0      0        0
## 9080               0        3        0                    0      0        0
## 9081               0        0        0                    0      0        0
## 9082               0       14        0                    0      0        0
## 9083               0        0        0                    0      0        0
## 9084               0        0        0                    0      0        0
## 9085               1        1        0                    0      0        0
## 9086               0        0        0                    0      0        0
## 9087               0        0        0                    1      0        0
## 9088               0        0        0                    0      0        1
## 9089               0        1        5                    0      0        0
## 9090               0       25        2                    0      0        0
##      HighBP HighChol GenHlth Age BMI
## 1         1        1       5   9  40
## 2         0        0       3   7  25
## 3         1        1       5   9  28
## 4         1        0       2  11  27
## 5         1        1       2  11  24
## 6         1        1       2  10  25
## 7         1        0       3   9  30
## 8         1        1       3  11  25
## 9         1        1       5   9  30
## 10        0        0       2   8  24
## 11        0        0       3  13  25
## 12        1        1       3  10  34
## 13        0        0       3   7  26
## 14        1        1       4  11  28
## 15        0        1       4   4  33
## 16        1        0       2   6  33
## 17        1        1       3  10  21
## 18        0        0       2   7  23
## 19        0        0       2   2  23
## 20        0        1       2   4  28
## 21        1        1       3  12  22
## 22        1        1       5  13  38
## 23        0        0       3   5  28
## 24        1        0       1  13  27
## 25        1        1       3   9  28
## 26        0        0       2   5  32
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## 8801      0        1       2   8  22
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## 8807      0        0       2  11  24
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## 8809      1        1       2  10  28
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## 8818      1        1       2  10  32
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## 8884      1        0       3  11  36
## 8885      0        1       2  11  21
## 8886      1        1       3  12  26
## 8887      1        1       3  10  26
## 8888      0        1       4  13  28
## 8889      0        1       3   8  28
## 8890      0        1       3  11  27
## 8891      1        1       3  12  34
## 8892      0        1       3   9  28
## 8893      1        1       2  11  27
## 8894      0        0       2   6  23
## 8895      0        0       2   4  21
## 8896      1        1       3  10  23
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## 8900      0        0       3  10  28
## 8901      0        1       2  12  25
## 8902      0        1       2  11  24
## 8903      0        0       2  13  24
## 8904      0        0       3   4  35
## 8905      1        1       4   9  24
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## 8907      0        0       2  12  21
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## 8910      0        0       1   8  23
## 8911      1        0       3   7  34
## 8912      1        1       3  11  31
## 8913      0        0       3   8  21
## 8914      1        0       4  13  25
## 8915      1        0       2   5  32
## 8916      1        0       2  11  30
## 8917      0        0       4   8  26
## 8918      1        1       3  13  30
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## 8920      1        1       4  12  41
## 8921      1        1       2  13  18
## 8922      0        1       4  11  22
## 8923      0        1       2  13  22
## 8924      0        0       3   9  30
## 8925      1        0       3   9  28
## 8926      0        1       3  10  24
## 8927      1        0       3  10  29
## 8928      0        0       2  11  37
## 8929      0        1       2  10  28
## 8930      0        0       2  10  25
## 8931      0        1       4  13  18
## 8932      0        1       3  11  32
## 8933      0        0       4  12  28
## 8934      1        1       2   7  27
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## 8936      1        1       3  12  27
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## 8940      1        1       2  10  33
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## 8945      1        1       1  11  26
## 8946      0        1       2  11  31
## 8947      1        1       2  11  27
## 8948      1        1       2  10  23
## 8949      1        1       3   7  27
## 8950      0        0       2   5  32
## 8951      1        1       1   8  26
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## 8953      0        0       1  11  25
## 8954      0        1       3  11  24
## 8955      0        0       2   6  31
## 8956      0        1       2   6  27
## 8957      0        0       3  13  24
## 8958      1        1       3  12  25
## 8959      1        1       2  10  27
## 8960      0        1       2   7  25
## 8961      1        1       1  10  22
## 8962      1        1       3  11  28
## 8963      1        0       4  13  28
## 8964      0        0       2   8  26
## 8965      0        0       1   2  27
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## 8972      1        0       2  13  24
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## 8980      0        1       2  11  25
## 8981      0        1       1  10  29
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## 9037      1        1       2   8  40
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## 9042      0        1       3   7  29
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## 9044      1        1       3  11  21
## 9045      0        1       1   9  30
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## 9047      1        0       3   3  31
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## 9049      0        0       2  10  22
## 9050      1        0       1   7  27
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## 9053      0        1       1   6  28
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## 9055      0        0       2  11  34
## 9056      0        1       1   9  26
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## 9058      1        0       2  11  26
## 9059      0        0       2   8  28
## 9060      0        1       4   9  23
## 9061      1        0       3   5  33
## 9062      0        0       3   6  23
## 9063      0        0       1   4  34
## 9064      1        1       3  13  28
## 9065      0        1       2  11  22
## 9066      0        0       1   7  27
## 9067      0        1       4   6  22
## 9068      1        0       1  12  22
## 9069      0        0       1  12  23
## 9070      1        1       4  13  24
## 9071      1        0       1  12  21
## 9072      1        1       4  10  28
## 9073      0        1       3  10  34
## 9074      0        1       3   5  28
## 9075      0        0       1   8  20
## 9076      1        1       3   9  27
## 9077      0        0       2  11  27
## 9078      0        0       3   4  27
## 9079      1        0       2  11  25
## 9080      1        1       4  13  23
## 9081      1        0       2   7  22
## 9082      0        0       1   7  17
## 9083      0        1       2  10  28
## 9084      0        1       2  10  28
## 9085      1        1       2  11  24
## 9086      0        0       1   8  26
## 9087      0        0       1  13  19
## 9088      0        0       1  12  23
## 9089      1        1       2  12  27
## 9090      0        0       1   7  27
##  [ reached 'max' / getOption("max.print") -- omitted 244590 rows ]

Hierarchical Clustering

Hierarchical clusters:

# Random sampling from the original dataset
set.seed(123)

# Reduce sample size to 12,500 rows
sample_indices2 <- sample(1:nrow(df2), size = 12500)  
df_sample2 <- df2[sample_indices2, ]

# Calculate the distance matrix using Manhattan distance
dist_diabetes2 <- dist(df_sample2[, 2:11], method = "manhattan")

#Print the sampled dataset
print(df_sample2)
##        Diabetes_binary PhysHlth MentHlth HeartDiseaseorAttack Stroke DiffWalk
## 182735               0        0       20                    0      0        0
## 188942               0        3        0                    0      0        0
## 134058               0        0        0                    0      0        0
## 124022               1       15        3                    0      0        1
## 160997               0        0        2                    0      0        1
## 226318               0        0        0                    1      0        0
## 103065               0        0        0                    0      0        0
## 124507               0        0       15                    0      0        0
## 199365               0       30       30                    0      0        1
## 193627               0        0        0                    0      0        0
## 45404                1        0        0                    0      1        1
## 65161                0        0        0                    0      0        0
## 46435                0       30       30                    1      0        1
## 235546               1        0        0                    0      0        0
## 140714               0        7        0                    1      0        0
## 59134                1        4        0                    0      0        0
## 183204               0        7       15                    0      0        0
## 96849                0        0        0                    0      0        0
## 145255               0        0        0                    0      0        0
## 15180                1        2        0                    0      0        0
## 158240               1        0       10                    1      1        0
## 89709                0        1        0                    0      0        0
## 140169               0        0        0                    0      0        0
## 30538                1        0        0                    0      0        0
## 187291               0        3        0                    0      0        0
## 225589               0       30        0                    0      0        1
## 139061               0        4        0                    0      0        0
## 144608               0        4        0                    0      1        1
## 114905               0        1        0                    0      0        0
## 90077                1        2       10                    0      0        1
## 6216                 0        0        0                    0      0        0
## 214591               0        3        0                    0      0        0
## 29394                0        0       30                    0      0        0
## 53241                1        0       20                    0      0        0
## 159897               0        0        0                    0      0        0
## 106773               0        0        0                    0      0        0
## 131113               1        0        0                    0      0        0
## 145498               1        4        0                    0      0        0
## 236767               0        0        3                    0      0        0
## 203892               0        0        2                    0      1        0
## 109318               0        3        0                    0      0        0
## 182728               0       10        0                    0      0        0
## 94038                1        4        0                    0      1        0
## 189599               0        5        1                    0      0        0
## 208081               0        0        0                    0      0        0
## 108338               0       30        2                    0      0        0
## 43042                1        2        0                    1      0        0
## 208909               0        0        0                    0      0        0
## 6134                 0        5        0                    0      0        1
## 164595               0        0        5                    0      0        0
## 21812                0        0       30                    0      0        0
## 128089               1        0        0                    0      0        0
## 39895                0        0        0                    0      0        0
## 140712               0        0        1                    0      0        0
## 216350               1       30        0                    0      1        1
## 9326                 1        0        0                    0      0        0
## 128064               0        0        0                    0      0        0
## 157582               0        0        0                    0      0        0
## 20960                0        5        1                    1      0        0
## 145475               0       28       30                    0      0        1
## 195574               1       30        0                    0      0        1
## 71503                0       28       30                    0      0        0
## 45221                0        3        0                    0      0        0
## 113842               0        0       15                    0      0        0
## 108780               0       10        0                    0      0        1
## 117066               0        0        0                    0      0        0
## 94335                0       20       30                    1      0        1
## 223444               0        0        3                    0      0        0
## 77585                0        3        0                    0      0        0
## 80686                0        0        0                    0      0        0
## 70563                0        0        0                    0      0        0
## 244590               1       30       30                    1      1        1
## 163678               1        5       15                    0      0        0
## 147224               0        0        1                    0      0        0
## 25559                0        0        0                    0      0        0
## 145287               0        0        0                    0      0        0
## 14287                0        0        0                    0      0        0
## 154266               1        8        5                    0      0        1
## 90094                0        5        0                    0      0        0
## 166048               1        3        0                    0      1        1
## 145563               0        0       10                    0      0        0
## 82949                0        0        0                    1      0        0
## 77584                0       30       30                    0      0        1
## 245536               1        0        0                    0      0        1
## 40503                0        0        0                    0      0        0
## 165796               0        0        0                    0      0        0
## 234734               0        3        0                    0      0        0
## 217085               0        0        0                    0      0        0
## 148441               0        0        0                    0      0        0
## 162614               1        0        0                    0      0        0
## 102537               0        2        0                    0      0        0
## 190178               0        2        4                    0      0        0
## 217677               0       15       20                    0      0        0
## 171704               0        0        0                    0      0        0
## 227183               0        0        0                    0      0        0
## 174276               0        0        0                    0      0        0
## 37544                0        0        0                    0      0        0
## 128606               0        0        2                    0      0        0
## 230361               1        0       15                    0      0        0
## 84427                0        0        0                    0      0        0
## 207892               0        0        0                    0      0        0
## 213187               0        1        0                    0      0        0
## 44196                0       20       10                    0      0        0
## 242540               0        0        0                    0      0        1
## 92337                1       15       10                    0      0        0
## 125755               0       30        3                    0      0        1
## 44983                0        8        0                    0      0        0
## 222510               0        7        7                    0      0        0
## 36717                0        0        0                    0      0        0
## 125547               0        0        0                    0      0        0
## 28078                0        0        0                    0      0        0
## 69369                0        0        0                    0      0        0
## 222636               0        7        0                    0      0        0
## 251130               0        0        7                    0      0        0
## 249261               1        0        0                    0      0        0
## 43406                0       30       30                    0      0        0
## 41488                1        5        2                    0      0        0
## 178557               0        0        0                    1      0        1
## 63528                0        0        0                    0      0        0
## 244234               1       30        0                    1      0        1
## 14536                1       30        1                    0      0        1
## 83069                0       30        5                    0      0        1
## 51465                1        0        0                    0      0        0
## 157575               1        2        1                    0      0        0
## 122429               0        0        0                    0      0        0
## 103319               0        0        0                    0      0        0
## 88299                0        0        0                    1      0        0
## 32953                0       28        0                    0      0        1
## 413                  0       30        0                    0      0        0
## 141834               0       14        0                    0      0        1
## 48182                0       10        5                    0      0        1
## 30571                0       30       15                    0      0        1
## 173593               0        0        0                    0      0        0
## 205594               0        0        0                    0      0        0
## 145817               0        7       20                    0      0        0
## 157018               0        0        0                    0      0        0
## 211412               1        0        2                    0      0        0
## 43928                1       30        0                    1      0        1
## 6601                 0        0        0                    0      0        0
## 57701                0       30        7                    0      0        0
## 184590               0        0        0                    0      0        0
## 72326                0        0        0                    0      0        1
## 183425               0        0        1                    0      0        0
## 66154                1        3        0                    1      0        0
## 47802                0        2        0                    0      0        0
## 31517                1       30       30                    1      1        1
## 66075                0        0        0                    0      0        0
## 32263                0        0        0                    1      0        0
## 227061               0        0        0                    0      0        0
## 69161                0        0        3                    0      0        0
## 249222               0        4        0                    0      0        0
## 81118                0        0        0                    0      0        0
## 187229               0        0        0                    0      0        0
## 19392                0        0        0                    0      0        0
## 46137                0        0        0                    1      0        0
## 198819               1       30        0                    0      0        1
## 2286                 1       14        0                    0      0        1
## 59970                0       15        0                    0      0        0
## 215370               0        0       15                    0      0        0
## 54661                0        0        0                    0      0        0
## 32281                0        0        4                    0      0        0
## 238647               0        0        0                    1      0        0
## 64085                1        0        0                    0      0        0
## 7826                 1        2       30                    0      0        0
## 80287                0        0        0                    0      0        0
## 89799                0        0        0                    0      0        0
## 25449                0        0        0                    0      0        0
## 237457               0        0        0                    0      0        0
## 63405                1        2        0                    1      0        0
## 207295               0        0        0                    0      0        0
## 64616                0        2        0                    0      0        0
## 27455                0        0        0                    0      0        0
## 185812               0        0        0                    0      0        0
## 78173                1        0        0                    0      0        0
## 20193                0       30        0                    0      0        1
## 116913               0        0        0                    0      0        0
## 66701                0        0        0                    0      0        0
## 228273               0        0        0                    0      0        0
## 153539               1        0        0                    1      0        1
## 95362                0        0        0                    0      0        0
## 63167                0        2       20                    0      0        0
## 210297               0        0        3                    0      1        0
## 63658                0        0        0                    0      0        0
## 49862                0        0       15                    0      0        0
## 115946               0        0        0                    0      0        0
## 125436               1       15        0                    0      0        1
## 215104               0        0        0                    0      0        0
## 210403               0       10        0                    1      0        1
## 216027               0        0        0                    0      0        0
## 182563               0        0        0                    0      0        0
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##        HighBP HighChol GenHlth Age BMI
## 182735      0        0       1  12  23
## 188942      1        0       2  12  35
## 134058      0        0       1   7  20
## 124022      1        0       4  10  28
## 160997      1        0       3  11  29
## 226318      0        1       2  12  23
## 103065      0        0       1   7  25
## 124507      1        0       3  11  23
## 199365      0        0       5   6  22
## 193627      0        0       2   9  30
## 45404       1        1       5   8  45
## 65161       0        0       1   8  21
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## 114874      0        0       2   6  25
## 171990      0        0       5   9  48
## 88440       0        1       2   8  30
## 219492      1        1       2   6  29
## 85134       0        0       3   9  22
## 107628      0        0       3   4  26
## 167617      0        0       2   5  24
## 114644      1        0       3  13  19
## 119363      0        0       3   1  25
## 132409      0        1       3  10  30
## 246361      0        1       1  11  21
## 88407       0        1       1  13  26
## 10672       1        0       2  10  23
## 239448      0        0       5  11  33
## 215866      0        1       3   9  34
## 91652       0        0       4   8  26
## 235322      0        0       1   8  23
## 43782       0        0       2   7  24
## 19135       1        0       2   8  23
## 170585      1        1       2   3  23
## 209170      0        0       2   9  30
## 180676      1        1       5   8  35
## 84443       1        1       3  11  31
## 52945       0        0       1  13  22
## 105311      1        1       2  10  32
## 229474      0        0       3   6  25
## 66507       1        0       3   8  37
## 18242       0        1       4  10  23
## 250207      0        0       2   3  30
## 190616      0        1       2  13  26
## 152119      1        0       3   6  32
## 88463       1        1       2  13  24
## 46454       1        0       3  11  22
## 148119      1        1       5   9  30
## 153314      0        0       4   3  35
## 208421      1        1       3   7  23
## 253390      0        0       1   1  27
## 225029      1        0       2   7  41
## 76076       0        1       1   4  34
## 34316       1        0       2   9  32
## 131199      1        1       3  13  34
## 239648      0        0       3   2  43
## 233364      0        0       3  13  25
## 119226      1        0       2   9  29
## 22331       1        1       3  10  25
## 218972      0        1       1   6  24
## 17195       0        0       1   3  29
## 249845      1        1       2   6  25
## 11829       0        0       3   9  22
## 196389      0        0       3   1  34
## 41735       0        1       3   7  25
## 250883      1        1       3   7  31
## 218925      0        0       2   6  31
## 227513      1        0       1   8  24
## 134645      0        0       1   7  28
## 228366      0        1       1  12  26
## 10164       0        1       2   4  41
## 179643      0        0       2  13  24
## 16155       1        1       2   5  32
## 209046      1        0       4   9  27
## 42914       1        0       4  10  25
## 89255       1        1       3   8  38
##  [ reached 'max' / getOption("max.print") -- omitted 3410 rows ]

Cluster Comparison of Variable Means

#Run the function hculst
hc_diabetes2 <- hclust(dist_diabetes2, method = 'complete') 
# Complete is MAX
#Other options are: single, average, ward.D, ward.D2, centroid, mcquitty

df_sample2$hcluster2 <- cutree(hc_diabetes2, k = 5)

print(df_sample2)
##        Diabetes_binary PhysHlth MentHlth HeartDiseaseorAttack Stroke DiffWalk
## 182735               0        0       20                    0      0        0
## 188942               0        3        0                    0      0        0
## 134058               0        0        0                    0      0        0
## 124022               1       15        3                    0      0        1
## 160997               0        0        2                    0      0        1
## 226318               0        0        0                    1      0        0
## 103065               0        0        0                    0      0        0
## 124507               0        0       15                    0      0        0
## 199365               0       30       30                    0      0        1
## 193627               0        0        0                    0      0        0
## 45404                1        0        0                    0      1        1
## 65161                0        0        0                    0      0        0
## 46435                0       30       30                    1      0        1
## 235546               1        0        0                    0      0        0
## 140714               0        7        0                    1      0        0
## 59134                1        4        0                    0      0        0
## 183204               0        7       15                    0      0        0
## 96849                0        0        0                    0      0        0
## 145255               0        0        0                    0      0        0
## 15180                1        2        0                    0      0        0
## 158240               1        0       10                    1      1        0
## 89709                0        1        0                    0      0        0
## 140169               0        0        0                    0      0        0
## 30538                1        0        0                    0      0        0
## 187291               0        3        0                    0      0        0
## 225589               0       30        0                    0      0        1
## 139061               0        4        0                    0      0        0
## 144608               0        4        0                    0      1        1
## 114905               0        1        0                    0      0        0
## 90077                1        2       10                    0      0        1
## 6216                 0        0        0                    0      0        0
## 214591               0        3        0                    0      0        0
## 29394                0        0       30                    0      0        0
## 53241                1        0       20                    0      0        0
## 159897               0        0        0                    0      0        0
## 106773               0        0        0                    0      0        0
## 131113               1        0        0                    0      0        0
## 145498               1        4        0                    0      0        0
## 236767               0        0        3                    0      0        0
## 203892               0        0        2                    0      1        0
## 109318               0        3        0                    0      0        0
## 182728               0       10        0                    0      0        0
## 94038                1        4        0                    0      1        0
## 189599               0        5        1                    0      0        0
## 208081               0        0        0                    0      0        0
## 108338               0       30        2                    0      0        0
## 43042                1        2        0                    1      0        0
## 208909               0        0        0                    0      0        0
## 6134                 0        5        0                    0      0        1
## 164595               0        0        5                    0      0        0
## 21812                0        0       30                    0      0        0
## 128089               1        0        0                    0      0        0
## 39895                0        0        0                    0      0        0
## 140712               0        0        1                    0      0        0
## 216350               1       30        0                    0      1        1
## 9326                 1        0        0                    0      0        0
## 128064               0        0        0                    0      0        0
## 157582               0        0        0                    0      0        0
## 20960                0        5        1                    1      0        0
## 145475               0       28       30                    0      0        1
## 195574               1       30        0                    0      0        1
## 71503                0       28       30                    0      0        0
## 45221                0        3        0                    0      0        0
## 113842               0        0       15                    0      0        0
## 108780               0       10        0                    0      0        1
## 117066               0        0        0                    0      0        0
## 94335                0       20       30                    1      0        1
## 223444               0        0        3                    0      0        0
## 77585                0        3        0                    0      0        0
## 80686                0        0        0                    0      0        0
## 70563                0        0        0                    0      0        0
## 244590               1       30       30                    1      1        1
## 163678               1        5       15                    0      0        0
## 147224               0        0        1                    0      0        0
## 25559                0        0        0                    0      0        0
## 145287               0        0        0                    0      0        0
## 14287                0        0        0                    0      0        0
## 154266               1        8        5                    0      0        1
## 90094                0        5        0                    0      0        0
## 166048               1        3        0                    0      1        1
## 145563               0        0       10                    0      0        0
## 82949                0        0        0                    1      0        0
## 77584                0       30       30                    0      0        1
## 245536               1        0        0                    0      0        1
## 40503                0        0        0                    0      0        0
## 165796               0        0        0                    0      0        0
## 234734               0        3        0                    0      0        0
## 217085               0        0        0                    0      0        0
## 148441               0        0        0                    0      0        0
## 162614               1        0        0                    0      0        0
## 102537               0        2        0                    0      0        0
## 190178               0        2        4                    0      0        0
## 217677               0       15       20                    0      0        0
## 171704               0        0        0                    0      0        0
## 227183               0        0        0                    0      0        0
## 174276               0        0        0                    0      0        0
## 37544                0        0        0                    0      0        0
## 128606               0        0        2                    0      0        0
## 230361               1        0       15                    0      0        0
## 84427                0        0        0                    0      0        0
## 207892               0        0        0                    0      0        0
## 213187               0        1        0                    0      0        0
## 44196                0       20       10                    0      0        0
## 242540               0        0        0                    0      0        1
## 92337                1       15       10                    0      0        0
## 125755               0       30        3                    0      0        1
## 44983                0        8        0                    0      0        0
## 222510               0        7        7                    0      0        0
## 36717                0        0        0                    0      0        0
## 125547               0        0        0                    0      0        0
## 28078                0        0        0                    0      0        0
## 69369                0        0        0                    0      0        0
## 222636               0        7        0                    0      0        0
## 251130               0        0        7                    0      0        0
## 249261               1        0        0                    0      0        0
## 43406                0       30       30                    0      0        0
## 41488                1        5        2                    0      0        0
## 178557               0        0        0                    1      0        1
## 63528                0        0        0                    0      0        0
## 244234               1       30        0                    1      0        1
## 14536                1       30        1                    0      0        1
## 83069                0       30        5                    0      0        1
## 51465                1        0        0                    0      0        0
## 157575               1        2        1                    0      0        0
## 122429               0        0        0                    0      0        0
## 103319               0        0        0                    0      0        0
## 88299                0        0        0                    1      0        0
## 32953                0       28        0                    0      0        1
## 413                  0       30        0                    0      0        0
## 141834               0       14        0                    0      0        1
## 48182                0       10        5                    0      0        1
## 30571                0       30       15                    0      0        1
## 173593               0        0        0                    0      0        0
## 205594               0        0        0                    0      0        0
## 145817               0        7       20                    0      0        0
## 157018               0        0        0                    0      0        0
## 211412               1        0        2                    0      0        0
## 43928                1       30        0                    1      0        1
## 6601                 0        0        0                    0      0        0
## 57701                0       30        7                    0      0        0
## 184590               0        0        0                    0      0        0
## 72326                0        0        0                    0      0        1
## 183425               0        0        1                    0      0        0
## 66154                1        3        0                    1      0        0
## 47802                0        2        0                    0      0        0
## 31517                1       30       30                    1      1        1
## 66075                0        0        0                    0      0        0
## 32263                0        0        0                    1      0        0
## 227061               0        0        0                    0      0        0
## 69161                0        0        3                    0      0        0
## 249222               0        4        0                    0      0        0
## 81118                0        0        0                    0      0        0
## 187229               0        0        0                    0      0        0
## 19392                0        0        0                    0      0        0
## 46137                0        0        0                    1      0        0
## 198819               1       30        0                    0      0        1
## 2286                 1       14        0                    0      0        1
## 59970                0       15        0                    0      0        0
## 215370               0        0       15                    0      0        0
## 54661                0        0        0                    0      0        0
## 32281                0        0        4                    0      0        0
## 238647               0        0        0                    1      0        0
## 64085                1        0        0                    0      0        0
## 7826                 1        2       30                    0      0        0
## 80287                0        0        0                    0      0        0
## 89799                0        0        0                    0      0        0
## 25449                0        0        0                    0      0        0
## 237457               0        0        0                    0      0        0
## 63405                1        2        0                    1      0        0
## 207295               0        0        0                    0      0        0
## 64616                0        2        0                    0      0        0
## 27455                0        0        0                    0      0        0
## 185812               0        0        0                    0      0        0
## 78173                1        0        0                    0      0        0
## 20193                0       30        0                    0      0        1
## 116913               0        0        0                    0      0        0
## 66701                0        0        0                    0      0        0
## 228273               0        0        0                    0      0        0
## 153539               1        0        0                    1      0        1
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## 63167                0        2       20                    0      0        0
## 210297               0        0        3                    0      1        0
## 63658                0        0        0                    0      0        0
## 49862                0        0       15                    0      0        0
## 115946               0        0        0                    0      0        0
## 125436               1       15        0                    0      0        1
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## 210403               0       10        0                    1      0        1
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## 29479                0       18       30                    0      0        0
## 70943                0        2        0                    0      0        0
## 110153               0        1        5                    0      0        0
## 251106               0       12       15                    0      0        1
## 98170                0        0        0                    0      0        0
## 209193               0        5        0                    0      0        1
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## 1835                 0        0        0                    0      0        0
## 173293               1       30       30                    0      0        0
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## 222050               0        0        5                    0      0        0
## 56529                1        0        5                    0      0        0
## 168012               0        0        0                    0      0        0
## 130851               0        0        0                    0      0        0
## 105689               1        2        2                    0      0        0
## 97455                0        0        0                    0      0        0
## 76099                1       30       25                    0      0        1
## 169337               0        3        0                    0      0        0
## 76384                0        3       30                    0      0        1
## 46438                0        0        0                    0      0        0
## 75176                0        0        0                    0      0        0
## 109664               1        7        5                    1      0        1
## 88461                0       30        6                    0      0        1
## 200422               0        2        0                    1      0        0
## 245598               1        1        0                    1      0        0
## 8176                 0        1        2                    0      0        1
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## 118647               0        0        0                    0      0        0
## 184945               0        3       30                    0      0        0
## 246146               0        0        0                    0      0        0
## 160205               1       30        0                    0      0        1
## 31                   1        7        0                    0      1        1
## 111731               0        3        2                    0      0        0
## 118878               0        0        0                    0      0        0
## 110608               0        0        0                    0      0        0
## 7588                 0        3        1                    0      0        0
## 109985               0        0       28                    0      0        0
## 251292               1        0        0                    0      0        0
## 4620                 0        0        0                    0      0        0
## 45980                0        0       30                    0      0        0
## 130610               0        1        0                    0      0        0
## 199855               1        1       30                    0      0        1
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## 142739               0       30        0                    0      0        1
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## 202017               0        0        0                    0      0        0
## 222539               0        2        0                    0      0        0
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## 247085               0        4        0                    1      0        1
## 118954               0       15        0                    0      0        1
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## 241672               0        0        0                    0      0        0
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## 83529                0        0        0                    0      0        1
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## 187064               0        1        2                    0      0        0
## 221851               0       30       10                    0      0        1
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## 235075               0       21       21                    0      0        1
## 100264               1       20        5                    0      0        0
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## 191978               0       30        0                    0      0        1
## 209787               1        0        1                    0      0        0
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## 68430                0        0       30                    0      0        0
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## 220491               0        0        0                    0      0        0
## 55737                1        6        7                    0      0        0
## 151027               0        0       30                    0      0        0
## 186440               0        0        0                    0      0        0
## 178890               0        0       30                    0      0        1
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## 69232                0        0        0                    0      0        0
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## 112243               0        0        2                    0      0        0
## 135985               0        3        0                    0      0        0
## 141373               1       10       25                    0      0        1
## 76908                0        0        2                    0      0        0
## 230773               0        0        2                    0      0        0
## 149619               0        0        0                    1      0        0
## 104024               0       20       30                    0      1        1
## 209846               0        0        0                    0      0        0
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## 9182                 0        0        1                    0      0        0
## 103746               0        0       29                    0      0        0
## 202920               0        2        0                    0      0        0
## 88852                0        1        0                    0      0        0
## 82585                0        0       15                    0      0        0
## 56519                0        0        1                    0      0        0
## 238013               1        0       30                    0      0        0
## 155743               0        0        0                    0      0        0
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## 165206               0        0        0                    1      0        0
## 47800                0        0        0                    0      0        0
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## 196850               0        0        0                    0      0        1
## 7071                 0        7        0                    0      0        0
## 112584               0        0        0                    0      0        0
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## 40160                0        2        1                    0      0        0
## 1498                 1        1       10                    0      0        0
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## 60587                0        0        1                    0      0        0
## 151770               1       30       30                    1      0        1
## 196687               0        0        0                    0      0        0
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## 165671               1        0        0                    0      0        1
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## 32102                0        2        0                    0      0        1
## 123757               0        0        7                    0      0        0
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## 194553               0        0        0                    0      0        0
## 162387               0       20        5                    0      0        1
## 43755                0        1        1                    0      0        0
## 176627               0        0        0                    0      0        0
## 189015               1        7       15                    1      0        0
## 74659                0        0        4                    0      0        0
## 73799                0        0        3                    0      0        0
## 233418               0        2        0                    0      0        0
## 20400                0        1        2                    0      0        0
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## 112777               1       30        0                    0      0        1
## 37492                0        0        0                    0      0        0
## 108608               0        0        0                    1      0        0
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##        HighBP HighChol GenHlth Age BMI hcluster2
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##  [ reached 'max' / getOption("max.print") -- omitted 4167 rows ]
prop.table(table(df_sample2$Diabetes_binary))
## 
##      0      1 
## 0.8604 0.1396
# Statistic
df_sample2 %>% group_by(hcluster2, Diabetes_binary) %>%
  summarise_all(list(mean)) %>% arrange(hcluster2)
## # A tibble: 10 × 12
## # Groups:   hcluster2 [5]
##    hcluster2 Diabetes_binary PhysHlth MentHlth HeartDiseaseorAttack Stroke
##        <int>           <int>    <dbl>    <dbl>                <dbl>  <dbl>
##  1         1               0    0.809     2.39               0.0594 0.0206
##  2         1               1    1.62      3.30               0.193  0.0745
##  3         2               0   20.5       7.02               0.158  0.0767
##  4         2               1   22.9       7.61               0.339  0.144 
##  5         3               0   29.5      27.5                0.161  0.194 
##  6         3               1   29.9      28.3                0.222  0.333 
##  7         4               0    6.70      2.37               0.185  0     
##  8         4               1   10.1       4.29               0.286  0.143 
##  9         5               0    0.870     3.26               0      0     
## 10         5               1    2         0                  0      0     
## # ℹ 6 more variables: DiffWalk <dbl>, HighBP <dbl>, HighChol <dbl>,
## #   GenHlth <dbl>, Age <dbl>, BMI <dbl>
# Grouping by hcluster2 and Diabetes_binary, calculating mean, and extracting percentage change
df_pct_change2 <- df_sample2 %>%
  group_by(hcluster2, Diabetes_binary) %>%
  summarise(across(where(is.numeric), mean)) %>% 
# Calculate means for numeric variables
  arrange(hcluster2) %>%
  group_by(hcluster2) %>% 
  mutate(across(-Diabetes_binary, 
# Exclude Diabetes_binary from percentage change
                ~ ifelse(Diabetes_binary == 1, 
                         100 * (. - lag(.)) / lag(.), 
                         NA), 
                .names = "{.col}_%_change")) %>%
  filter(Diabetes_binary == 1) %>%
# Keep only rows for Diabetes_binary = 1
  select(hcluster2, ends_with("_%_change")) 
## `summarise()` has grouped output by 'hcluster2'. You can override using the
## `.groups` argument.
# Select only hcluster1 and percentage change columns

# Display the resulting dataframe
df_pct_change2
## # A tibble: 5 × 11
## # Groups:   hcluster2 [5]
##   hcluster2 `PhysHlth_%_change` `MentHlth_%_change` HeartDiseaseorAttack_%_cha…¹
##       <int>               <dbl>               <dbl>                        <dbl>
## 1         1              100.                 38.1                         225. 
## 2         2               11.8                 8.37                        114. 
## 3         3                1.37                2.85                         37.8
## 4         4               50.2                80.8                          54.3
## 5         5              130                -100                           NaN  
## # ℹ abbreviated name: ¹​`HeartDiseaseorAttack_%_change`
## # ℹ 7 more variables: `Stroke_%_change` <dbl>, `DiffWalk_%_change` <dbl>,
## #   `HighBP_%_change` <dbl>, `HighChol_%_change` <dbl>,
## #   `GenHlth_%_change` <dbl>, `Age_%_change` <dbl>, `BMI_%_change` <dbl>
df_pct_change2_grouped <- df_sample2 %>%
  group_by(hcluster2, Diabetes_binary) %>%
  summarise(across(where(is.numeric), mean, na.rm = TRUE)) %>% 
  # Calculate means for numeric variables
  arrange(hcluster2) %>%
  group_by(hcluster2) %>% 
  mutate(across(-Diabetes_binary, 
                # Exclude Diabetes_binary from percentage change
                ~ ifelse(Diabetes_binary == 1, 
                         100 * (. - lag(.)) / lag(.), 
                         NA),  # Explicitly set NA for other cases
                .names = "{.col}_%_change")) %>%
  filter(Diabetes_binary == 1 | is.na(Diabetes_binary)) %>%
  # Keep rows for Diabetes_binary = 1 and also retain NA values
  select(hcluster2, ends_with("_%_change")) %>%
  # Select only hcluster2 and percentage change columns
  pivot_longer(
    cols = ends_with("_%_change"),  # Transform percentage change columns
    names_to = "Variable",          # New column for variable names
    values_to = "Percentage_Change",# New column for percentage change values
    values_drop_na = FALSE          # Ensure NA values are not dropped
  ) %>%
  arrange(hcluster2, desc(Percentage_Change)) # Order by cluster and percentage change descending
## Warning: There was 1 warning in `summarise()`.
## ℹ In argument: `across(where(is.numeric), mean, na.rm = TRUE)`.
## ℹ In group 1: `hcluster2 = 1` and `Diabetes_binary = 0`.
## Caused by warning:
## ! The `...` argument of `across()` is deprecated as of dplyr 1.1.0.
## Supply arguments directly to `.fns` through an anonymous function instead.
## 
##   # Previously
##   across(a:b, mean, na.rm = TRUE)
## 
##   # Now
##   across(a:b, \(x) mean(x, na.rm = TRUE))
## `summarise()` has grouped output by 'hcluster2'. You can override using the
## `.groups` argument.
# Display the grouped and sorted dataframe with NA values
print(df_pct_change2_grouped)
## # A tibble: 50 × 3
## # Groups:   hcluster2 [5]
##    hcluster2 Variable                      Percentage_Change
##        <int> <chr>                                     <dbl>
##  1         1 Stroke_%_change                           262. 
##  2         1 HeartDiseaseorAttack_%_change             225. 
##  3         1 DiffWalk_%_change                         211. 
##  4         1 HighBP_%_change                           112. 
##  5         1 PhysHlth_%_change                         100. 
##  6         1 HighChol_%_change                          80.5
##  7         1 MentHlth_%_change                          38.1
##  8         1 GenHlth_%_change                           34.7
##  9         1 Age_%_change                               22.6
## 10         1 BMI_%_change                               14.2
## # ℹ 40 more rows
# Summarize the data for df_sample2
df_growth2 <- df_sample2 %>%
  group_by(hcluster2, Diabetes_binary) %>%
  summarise(
    PhysHlth = mean(PhysHlth, na.rm = TRUE),
    MentHlth = mean(MentHlth, na.rm = TRUE),
    HeartDiseaseorAttack = mean(HeartDiseaseorAttack, na.rm = TRUE),
    Stroke = mean(Stroke, na.rm = TRUE),
    DiffWalk = mean(DiffWalk, na.rm = TRUE),
    HighBP = mean(HighBP, na.rm = TRUE),
    HighChol = mean(HighChol, na.rm = TRUE),
    GenHlth = mean(GenHlth, na.rm = TRUE),
    Age = mean(Age, na.rm = TRUE),
    BMI = mean(BMI, na.rm = TRUE)
  ) %>%
  pivot_longer(cols = -c(hcluster2, Diabetes_binary), names_to = "Variable", values_to = "Mean") %>%
  pivot_wider(names_from = Diabetes_binary, values_from = Mean, names_prefix = "Diabetes_binary_") %>%
  mutate(
    GrowthRate = (Diabetes_binary_1 - Diabetes_binary_0) / Diabetes_binary_0 * 100
  )
## `summarise()` has grouped output by 'hcluster2'. You can override using the
## `.groups` argument.
variable_order <- c("PhysHlth", "MentHlth", "HeartDiseaseorAttack", "Stroke", 
                    "DiffWalk", "HighBP", "HighChol", "GenHlth", "Age", "BMI")



# Plot the growth rate for df_sample2
ggplot(df_growth2, aes(x = factor(Variable, levels = variable_order), y = GrowthRate, fill = as.factor(hcluster2))) +
  geom_bar(stat = "identity", position = "dodge") +
  labs(
    title = "Growth Rate of Variables Across Clusters (original dataset)",
    x = "Variables",
    y = "Growth Rate (%)",
    fill = "Cluster"
  ) +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))
## Warning: Removed 2 rows containing missing values or values outside the scale range
## (`geom_bar()`).